8005680864 has 72 divisors (see below), whose sum is σ = 22778388360. Its totient is φ = 2667126528.

The previous prime is 8005680833. The next prime is 8005680883. The reversal of 8005680864 is 4680865008.

8005680864 is a `hidden beast` number, since 8 + 0 + 0 + 568 + 0 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 621174 + ... + 633930.

It is an arithmetic number, because the mean of its divisors is an integer number (316366505).

Almost surely, 2^8005680864 is an apocalyptic number.

It is an amenable number.

8005680864 is an abundant number, since it is smaller than the sum of its proper divisors (14772707496).

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

8005680864 is a wasteful number, since it uses less digits than its factorization.

8005680864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14952 (or 14941 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 8005680864 is about 89474.4704594556. The cubic root of 8005680864 is about 2000.4732933212.

The spelling of 8005680864 in words is "eight billion, five million, six hundred eighty thousand, eight hundred sixty-four".