really! you mean all 64-bit proccys are amd64 architecture?
well, Intel developed x86 instruction set which was pre-dominantly used in 16-bit and 32-bit processors by both Intel and AMD.
Then Intel developed a 64-bit processor named "Itanium" which used IA-64 architecture. This was incompatible with old x86 instruction sets which would mean 32-bit applications would have been "emulated" with performance penalty if we wanted to run them. AMD didn't like this.
So, what AMD did, they extended x86 to x86-64 aka amd64 which is a 64-bit architecture backwards compatible with x86 (32-bit) and released Athlon 64. Now we all know Athlon 64 was a huge success and made Pentium 4 look like a joke. And the good thing was, you could run 32-bit OS/softwares on it without any performance penalty and you could also run 64-bit OS/softwares too.
Intel had to give in and instead of using Itanium's IA-64, they implemented x86-64/amd64 with minor changes in Core 2 and called it EM64T/Intel 64.
So, basically this is the reason why you can use Windows 7 32-bit on your Core i3, i5 and i7 processors despite they're 64-bit processors. You can't do this with Itanium processors.