22077687864960 has 3072 divisors, whose sum is σ = 102086911180800. Its totient is φ = 4267170201600.

The previous prime is 22077687864923. The next prime is 22077687865063. The reversal of 22077687864960 is 6946878677022.

22077687864960 is a `hidden beast` number, since 2 + 2 + 0 + 7 + 7 + 68 + 78 + 6 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47275562647 + ... + 47275563113.

It is an arithmetic number, because the mean of its divisors is an integer number (33231416400).

Almost surely, 2^{22077687864960} is an apocalyptic number.

22077687864960 is a gapful number since it is divisible by the number (20) 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 22077687864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51043455590400).

22077687864960 is an abundant number, since it is smaller than the sum of its proper divisors (80009223315840).

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

22077687864960 is a wasteful number, since it uses less digits than its factorization.

22077687864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 22077687864960 in words is "twenty-two trillion, seventy-seven billion, six hundred eighty-seven million, eight hundred sixty-four thousand, nine hundred sixty".