What you say is not true.
64 bits doesn’t mean it is faster than 32 bits.
It can be faster, but speed depends on a lot (and I really mean a lot!) of things.

In fact, fully 64 bits software hardly exists.
Most are using 32 bits instructions as well.

I guess you have Windows 7 (or higher) in a 64 bits version.
Well, here is the surprise.
Windows (not even version 10) is fully 64 bits.

When software says it is 64 bits it only means that it can run on a 64 bits system, not that the software is fully 64 bits.