6679527365664 has 96 divisors (see below), whose sum is σ = 19482441552000. Its totient is φ = 2226453495552.

The previous prime is 6679527365611. The next prime is 6679527365677. The reversal of 6679527365664 is 4665637259766.

6679527365664 is a `hidden beast` number, since 6 + 6 + 7 + 9 + 5 + 27 + 36 + 566 + 4 = 666.

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

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6679527365592 and 6679527365601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48859197 + ... + 48995715.

It is an arithmetic number, because the mean of its divisors is an integer number (202942099500).

Almost surely, 2^{6679527365664} is an apocalyptic number.

It is an amenable number.

6679527365664 is an abundant number, since it is smaller than the sum of its proper divisors (12802914186336).

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

6679527365664 is a wasteful number, since it uses less digits than its factorization.

6679527365664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193167 (or 193153 counting only the distinct ones).

The product of its digits is 2057529600, while the sum is 72.

The spelling of 6679527365664 in words is "six trillion, six hundred seventy-nine billion, five hundred twenty-seven million, three hundred sixty-five thousand, six hundred sixty-four".