6577682868864 has 160 divisors (see below), whose sum is σ = 20104134959700. Its totient is φ = 2133302427648.

The previous prime is 6577682868829. The next prime is 6577682868877. The reversal of 6577682868864 is 4688682867756.

It can be written as a sum of positive squares in 2 ways, for example, as 6537185331264 + 40497537600 = 2556792^2 + 201240^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8189649 + ... + 8956880.

Almost surely, 2^{6577682868864} is an apocalyptic number.

6577682868864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6577682868864 is an abundant number, since it is smaller than the sum of its proper divisors (13526452090836).

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

6577682868864 is a wasteful number, since it uses less digits than its factorization.

6577682868864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17146592 (or 17146571 counting only the distinct ones).

The product of its digits is 10404495360, while the sum is 81.

The spelling of 6577682868864 in words is "six trillion, five hundred seventy-seven billion, six hundred eighty-two million, eight hundred sixty-eight thousand, eight hundred sixty-four".