7900560864 has 216 divisors, whose sum is σ = 26843471928. Its totient is φ = 2196149760.

The previous prime is 7900560859. The next prime is 7900560917. The reversal of 7900560864 is 4680650097.

7900560864 is a `hidden beast` number, since 7 + 9 + 0 + 0 + 560 + 86 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 514579 + ... + 529709.

It is an arithmetic number, because the mean of its divisors is an integer number (124275333).

Almost surely, 2^7900560864 is an apocalyptic number.

7900560864 is a gapful number since it is divisible by the number (74) 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 7900560864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13421735964).

7900560864 is an abundant number, since it is smaller than the sum of its proper divisors (18942911064).

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

7900560864 is a wasteful number, since it uses less digits than its factorization.

7900560864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15198 (or 15180 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7900560864 is about 88885.0992236607. The cubic root of 7900560864 is about 1991.6788324329.

The spelling of 7900560864 in words is "seven billion, nine hundred million, five hundred sixty thousand, eight hundred sixty-four".