87627690432 has 336 divisors, whose sum is σ = 271069186080. Its totient is φ = 27755937792.

The previous prime is 87627690419. The next prime is 87627690443. The reversal of 87627690432 is 23409672678.

87627690432 is a `hidden beast` number, since 8 + 7 + 627 + 6 + 9 + 0 + 4 + 3 + 2 = 666.

It is a super-2 number, since 2×87627690432² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234926598 + ... + 234926970.

It is an arithmetic number, because the mean of its divisors is an integer number (806753530).

Almost surely, 2^87627690432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87627690432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135534593040).

87627690432 is an abundant number, since it is smaller than the sum of its proper divisors (183441495648).

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

87627690432 is a wasteful number, since it uses less digits than its factorization.

87627690432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 87627690432 in words is "eighty-seven billion, six hundred twenty-seven million, six hundred ninety thousand, four hundred thirty-two".