422768525760 has 672 divisors, whose sum is σ = 1752712166400. Its totient is φ = 91371110400.

The previous prime is 422768525743. The next prime is 422768525771. The reversal of 422768525760 is 67525867224.

422768525760 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 68 + 5 + 2 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 422768525697 and 422768525706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352013160 + ... + 352014360.

Almost surely, 2^422768525760 is an apocalyptic number.

422768525760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422768525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876356083200).

422768525760 is an abundant number, since it is smaller than the sum of its proper divisors (1329943640640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422768525760 is a wasteful number, since it uses less digits than its factorization.

422768525760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 422768525760 in words is "four hundred twenty-two billion, seven hundred sixty-eight million, five hundred twenty-five thousand, seven hundred sixty".