86679440640 has 216 divisors, whose sum is σ = 322971765480. Its totient is φ = 21336440832.

The previous prime is 86679440633. The next prime is 86679440663. The reversal of 86679440640 is 4604497668.

86679440640 is a `hidden beast` number, since 86 + 67 + 9 + 440 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15300700416 + 71378740224 = 123696^2 + 267168^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139635 + ... + 439154.

It is an arithmetic number, because the mean of its divisors is an integer number (1495239655).

Almost surely, 2^86679440640 is an apocalyptic number.

86679440640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86679440640 is an abundant number, since it is smaller than the sum of its proper divisors (236292324840).

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

86679440640 is a wasteful number, since it uses less digits than its factorization.

86679440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578829 (or 578812 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 86679440640 in words is "eighty-six billion, six hundred seventy-nine million, four hundred forty thousand, six hundred forty".