426656962800 has 720 divisors, whose sum is σ = 1594331474112. Its totient is φ = 105283584000.

The previous prime is 426656962747. The next prime is 426656962819. The reversal of 426656962800 is 8269656624.

It is a happy number.

426656962800 is a `hidden beast` number, since 4 + 2 + 6 + 6 + 5 + 6 + 9 + 628 + 0 + 0 = 666.

426656962800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×426656962800³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1266044232 + ... + 1266044568.

Almost surely, 2^426656962800 is an apocalyptic number.

426656962800 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 426656962800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797165737056).

426656962800 is an abundant number, since it is smaller than the sum of its proper divisors (1167674511312).

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

426656962800 is a wasteful number, since it uses less digits than its factorization.

426656962800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 426656962800 in words is "four hundred twenty-six billion, six hundred fifty-six million, nine hundred sixty-two thousand, eight hundred".