Apple's ad copy above appears to be right. Apple is the first to squeeze a 64-bit processor into a consumer smartphone from a top-tier vendor.
It "is the world's first consumer ARM based [system-on-a-chip] with 64-bit support," wrote Anand Shimpi of chip site Anandtech.
Apple's previous A series processors and ARM chips from other suppliers, like Qualcomm, have all been 32-bit.
This could be significant if data-intensive games and apps take advantage of the wider data path. Apple said iOS 7 has "a native 64-bit kernel" and "all built-in apps have been re-engineered."
Generally, 64-bit chips in the PC space can address more memory and, thus, can be better at running more demanding software.
In fact, Apple referred to it as a "64-bit desktop class architecture" in its presentation Tuesday.
And to demonstrate the A7's mettle, Apple brought Epic Games and its latest title, Infinity Blade 3, on stage.
It wouldn't be surprising to see similar silicon land in the iPad 5. The iPad 4, for example, uses a high-performance version of the A6 -- that's also used in the iPhone 5 -- called the A6X.