If I have an important data in a disk (flash, SSD or HDD) and I deleted them, I know it is easy to recover these deleted data (even by using free software like recuva. Now if I fill this disk with any data, let's say a large movie file or so until the disk has no more empty space then deleting these dummy files again, will this be enough measure to stop people from recovering the deleted files? isn't that a rewrite?
This is enough, or not, depending on the disk technology, the budget of the attacker, and some other details.
When you fill a disk with zeros, you force the filesystem to reuse free blocks, and rewrite them. So, as first order approximation, this looks good for you: your file contents are overwritten. However, there are details:
If the confidentiality of the data you want to wipe out is valuable, then the cautious course of action is to physically destroy the storage device (shredding, melting, degaussing,... there are several possibilities, with various degrees of efficiency, price and fun). If your data secrecy is not worth the 100$ for a new disk, then you can probably do a simple fill-up of the disk with dummy files: low-value data implies cheap, unmotivated attackers.
Next time use disk encryption. If data never makes it unencrypted to the disk, then wiping the data out is as simple as forgetting the key. This abstracts away physical details of the disk.
When you are using a HDD; writing filling it all up over and over again and changing file format and operating system and than filling it up over and over would help you.
It is actually said that changing the OS and changing the file format (NFST to FAT32 etc) makes revocery pretty hard. And if you fill it up with newer data and do these practices in a loop, there is chance that nothing will be found on the harddisk.
Some also say that using small files may work better because all the headers will get messed up and stuff.
However, this is almost impossible to do with SSDs. This is not %100 correct but to explain it very simply think it this way; SSD's are storing voltage rates to determine ones and zeros. However, it does it in layers. When you write and read as a end user you write to top layer... But, previous layers are still there and they are accessible by special machines. (you can find various papers about it here is one )
and fun fact: you know super magnets that are used to carry the cars and such... They can clean up your HDD's.
No. Adding 0s to the hard drive is easily recoverable (with a special machine). It is not
If you really want to reuse a hard drive in a safe way I recommend you using the "shred" utility in linux or any other similar utility.
Let's say that simply writing once over a hard disk is not enough to make the hard drive truly forget about the data that was here.
You don't really need to use "shred" you can use "dd" and add data from the "/dev/random" or similar. But you will need to do this process several times to be sure there is not information from previous data.
Edit: using large files as movies to fill the hard drive should be fine as long as you do that with several large files (not always the same), and fillint it several times, but adding random data would be better. FBI recommends at least filling the drive 7 times.