7689417942564 has 48 divisors (see below), whose sum is σ = 19940136451200. Its totient is φ = 2562546799008.

The previous prime is 7689417942553. The next prime is 7689417942581. The reversal of 7689417942564 is 4652497149867.

7689417942564 is a `hidden beast` number, since 7 + 6 + 8 + 9 + 4 + 17 + 9 + 42 + 564 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7689417942492 and 7689417942501.

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, 7759899 + ... + 8694530.

It is an arithmetic number, because the mean of its divisors is an integer number (415419509400).

Almost surely, 2^{7689417942564} is an apocalyptic number.

It is an amenable number.

7689417942564 is an abundant number, since it is smaller than the sum of its proper divisors (12250718508636).

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

7689417942564 is a wasteful number, since it uses less digits than its factorization.

7689417942564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16458769 (or 16458761 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 7689417942564 in words is "seven trillion, six hundred eighty-nine billion, four hundred seventeen million, nine hundred forty-two thousand, five hundred sixty-four".