Facebook\'s user id\'s go up to 2^32 .. which by my count it 4294967296.
mySQL\'s unsigned int\'s range is 0 to 4294967295 (which is 1 short - or my math is wrong) a
I would just stick with INT. It's easy, it's small, it works and you can always change the column to a larger size in the future if you need to.
FYI:
VARCHAR(n) ==> variable, up to n + 1 bytes CHAR(n) ==> fixed, n bytes
VARCHAR(n) ==> variable, up to n + 1 bytes
CHAR(n) ==> fixed, n bytes