8100579672720 has 80 divisors (see below), whose sum is σ = 27901996657920. Its totient is φ = 2160154578816.

The previous prime is 8100579672707. The next prime is 8100579672739. The reversal of 8100579672720 is 272769750018.

It is a happy number.

8100579672720 is a `hidden beast` number, since 8 + 1 + 0 + 0 + 579 + 67 + 2 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1875132024 + ... + 1875136343.

It is an arithmetic number, because the mean of its divisors is an integer number (348774958224).

Almost surely, 2^{8100579672720} is an apocalyptic number.

8100579672720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8100579672720 is an abundant number, since it is smaller than the sum of its proper divisors (19801416985200).

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

8100579672720 is a wasteful number, since it uses less digits than its factorization.

8100579672720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750268389 (or 3750268377 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 8100579672720 in words is "eight trillion, one hundred billion, five hundred seventy-nine million, six hundred seventy-two thousand, seven hundred twenty".