80864106624 has 320 divisors, whose sum is σ = 278814666240. Its totient is φ = 22786043904.

The previous prime is 80864106613. The next prime is 80864106637. The reversal of 80864106624 is 42660146808.

80864106624 is a `hidden beast` number, since 8 + 0 + 8 + 6 + 4 + 10 + 6 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 80864106624.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5290417 + ... + 5305679.

It is an arithmetic number, because the mean of its divisors is an integer number (871295832).

Almost surely, 2^80864106624 is an apocalyptic number.

80864106624 is a gapful number since it is divisible by the number (84) 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 80864106624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139407333120).

80864106624 is an abundant number, since it is smaller than the sum of its proper divisors (197950559616).

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

80864106624 is a wasteful number, since it uses less digits than its factorization.

80864106624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15369 (or 15348 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 80864106624 in words is "eighty billion, eight hundred sixty-four million, one hundred six thousand, six hundred twenty-four".