6864656544 has 72 divisors (see below), whose sum is σ = 20370141792. Its totient is φ = 2188728960.

The previous prime is 6864656537. The next prime is 6864656599. The reversal of 6864656544 is 4456564686.

6864656544 is a `hidden beast` number, since 6 + 8 + 6 + 46 + 56 + 544 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 511542 + ... + 524789.

It is an arithmetic number, because the mean of its divisors is an integer number (282918636).

Almost surely, 2^6864656544 is an apocalyptic number.

It is an amenable number.

6864656544 is an abundant number, since it is smaller than the sum of its proper divisors (13505485248).

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

6864656544 is a wasteful number, since it uses less digits than its factorization.

6864656544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036370 (or 1036359 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The square root of 6864656544 is about 82853.2228944656. Note that the first 3 decimals coincide. The cubic root of 6864656544 is about 1900.5221597182.

The spelling of 6864656544 in words is "six billion, eight hundred sixty-four million, six hundred fifty-six thousand, five hundred forty-four".