427524639360 has 512 divisors, whose sum is σ = 1711475136000. Its totient is φ = 90201194496.

The previous prime is 427524639359. The next prime is 427524639391. The reversal of 427524639360 is 63936425724.

It is a super-2 number, since 2×427524639360² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8536312 + ... + 8586248.

It is an arithmetic number, because the mean of its divisors is an integer number (3342724875).

Almost surely, 2^427524639360 is an apocalyptic number.

427524639360 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 427524639360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855737568000).

427524639360 is an abundant number, since it is smaller than the sum of its proper divisors (1283950496640).

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

427524639360 is a wasteful number, since it uses less digits than its factorization.

427524639360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49993 (or 49967 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 51.

The spelling of 427524639360 in words is "four hundred twenty-seven billion, five hundred twenty-four million, six hundred thirty-nine thousand, three hundred sixty".