86374939680 has 240 divisors, whose sum is σ = 318086201664. Its totient is φ = 22031792640.

The previous prime is 86374939669. The next prime is 86374939681. The reversal of 86374939680 is 8693947368.

86374939680 is a `hidden beast` number, since 8 + 63 + 7 + 493 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (86374939681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 153195 + ... + 442965.

Almost surely, 2^86374939680 is an apocalyptic number.

86374939680 is a gapful number since it is divisible by the number (80) 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 86374939680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159043100832).

86374939680 is an abundant number, since it is smaller than the sum of its proper divisors (231711261984).

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

86374939680 is a wasteful number, since it uses less digits than its factorization.

86374939680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289821 (or 289804 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 86374939680 in words is "eighty-six billion, three hundred seventy-four million, nine hundred thirty-nine thousand, six hundred eighty".