426527725624 has 384 divisors, whose sum is σ = 1111084646400. Its totient is φ = 148987537920.

The previous prime is 426527725609. The next prime is 426527725639.

426527725624 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (426527725609) and next prime (426527725639).

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 875826709 + ... + 875827195.

It is an arithmetic number, because the mean of its divisors is an integer number (2893449600).

Almost surely, 2^426527725624 is an apocalyptic number.

426527725624 is a gapful number since it is divisible by the number (44) 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 426527725624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555542323200).

426527725624 is an abundant number, since it is smaller than the sum of its proper divisors (684556920776).

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

426527725624 is a wasteful number, since it uses less digits than its factorization.

426527725624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 746 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 52.

The spelling of 426527725624 in words is "four hundred twenty-six billion, five hundred twenty-seven million, seven hundred twenty-five thousand, six hundred twenty-four".