Very very basically it means that its easier to make use of more memory and has the potential to do more stuff than a 32 bit process in the same amount of time. 64 bit really shows its power when you deal with massive amounts of data, due to things called 'address space' and 'windowing'.
But, the beauty of Leopard will be that you won't need to think about it as it will be a full 64 bit and 32 bit operating system at the same time. None of the Linux / Windows nonsense of having to install one or the other.
Relax, don't think about the numbers and enjoy the OSX ride
