Soldato
The PSU is a Seasonic S12 650w and I have just noticed that it has 4 12v rails at 18A each.
I assume the PCI-E connectors on the PSU would have a rail each which would give the GPU 36A, but I assume that as with most things Seasonic exaggerate their figures slightly so it would never quite achieve its maximum output.
Seasonic are top notch PSU's. Under most lab tests they have met, or even exceeded their labels. Those quad rails have been tested by several labs, and appear to actually be a single rail anyway. The Corsair TX650 is almost exactly the same as the S12 650 (with the possible exception of slightly uprated capacitors, Seasonic is the manufacturer of the TX650) Yet the Corsair claims a single rail. Most likely Seasonic only write it as 4 rails to comply with the exact specification for ATX12V Psu's which say a maxumim of 240VA on a single rail.
It's pretty unlikely that you will overload the seasonic, and if you did manage it, Seasonic's overload protection should kick in anyway. In the world of PC PSU's Seasonic are excellent, certainly one of the top brands.