Is there any big advantages of having its C++ developing applications running on a 64 bit mode?

I just noticed that by instance famous application like chrome didn't have any 64 versions at least under windows.

In my firm I write applications which run under 64 bits version of windows in 32 bits mode.

I am wondering if I could have some advantages/performance gain to build applications in 64 bits mode rather than in 32 bits

Edit :

Typically, in which kind of software, the increase of registers number will be benefict ?