6865584768 has 96 divisors (see below), whose sum is σ = 22578809760. Its totient is φ = 1961593344.

The previous prime is 6865584727. The next prime is 6865584779. The reversal of 6865584768 is 8674855686.

6865584768 is a `hidden beast` number, since 6 + 8 + 6 + 558 + 4 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6865584768² = 94272508413187227648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 417630 + ... + 433757.

It is an arithmetic number, because the mean of its divisors is an integer number (235195935).

Almost surely, 2^6865584768 is an apocalyptic number.

It is an amenable number.

6865584768 is an abundant number, since it is smaller than the sum of its proper divisors (15713224992).

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

6865584768 is a wasteful number, since it uses less digits than its factorization.

6865584768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851414 (or 851399 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The square root of 6865584768 is about 82858.8243218548. The cubic root of 6865584768 is about 1900.6078173552.

The spelling of 6865584768 in words is "six billion, eight hundred sixty-five million, five hundred eighty-four thousand, seven hundred sixty-eight".