Confused of 64 & 32 Bit Processors

Dear Friends,

I have Intel Core 2 Duo E6400 2.13 GHZ processor

with Intel 965 Mboard and 2 GB DDD2 667MHZ ram ...

My Doubt is that i want to know wheteher my Processor is a 64 Bit Processor or not ...

I am willing to install 64 bit XP in my PC ...

If my Processor is not 64 Bit ...

What are the Processors from Intel are 64 Bit ???

Thanks in advance ...