I am not sure if you can find any receiver that can do 50A continuously. First, consider this:
Voltage (V)=Current (I) X Impedance (Z), i.e. V=IZ.
Let's say your 8 or 4-ohm speakers can dip down to 2 ohms momentarily, you will need 100V (I doubt any amp can even come close to this voltage level at its output) to push 50A through that speaker. I think the 635's +/-50A is the total current output, so if you divide it into 5 channels, each channel only have to output 10A into the speaker that it drives. In that case, the amplifier only needs to develop 20V to send 10A through a 2-ohm load, or 60V for a 6 ohm load. That said, I think there is no chance for all 5 speakers to have its impedance dip so low at the same instant.
So if you have an 8-ohm speaker that holds its impedance relatively constant, the 50A capability won't do anything for you.
Secondly, Power (P)=Voltage (V) X Current (I) X power factor, so even at an output voltage of 20V, at 50A
P=20X50=1000W (assuming p.f.=1). In order to output 1000W, the 635 would have to pretty much draw a full 15A from the outlet. That means you would need a dedicated output for the 635 if you want it to be able to push a total of 50A through 5 speakers simultaneously with all 5 speakers having their impedance to dip down to 4 ohms or lower.
On surface, it would appear that HK's high current capability would serve you well if you have low impedance speakers. However, HK receivers are designed for 8-ohm speakers, so what's the point, other than it helps in case your 8-ohm speakers could dip momentarily to 4 ohms or less at certain frequencies.
And yes, according to the HK website, the +/-50A is an instantaneous rating. There is no way the 635 can sustain that kind of current at any length of time, except for "instantaneous", meaning a very short split second (milliseconds, or may be even micro seconds).