426512604672 has 720 divisors, whose sum is σ = 1599102400896. Its totient is φ = 110257459200.

The previous prime is 426512604619. The next prime is 426512604697. The reversal of 426512604672 is 276406215624.

426512604672 is a `hidden beast` number, since 4 + 2 + 6 + 512 + 60 + 4 + 6 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2021386647 + ... + 2021386857.

Almost surely, 2^426512604672 is an apocalyptic number.

426512604672 is a gapful number since it is divisible by the number (42) 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 426512604672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799551200448).

426512604672 is an abundant number, since it is smaller than the sum of its proper divisors (1172589796224).

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

426512604672 is an frugal number, since it uses more digits than its factorization.

426512604672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 426512604672 in words is "four hundred twenty-six billion, five hundred twelve million, six hundred four thousand, six hundred seventy-two".