7680936557664 has 72 divisors (see below), whose sum is σ = 21881460713112. Its totient is φ = 2555764508160.

The previous prime is 7680936557663. The next prime is 7680936557699. The reversal of 7680936557664 is 4667556390867.

7680936557664 is a `hidden beast` number, since 7 + 6 + 8 + 0 + 9 + 3 + 6 + 557 + 6 + 64 = 666.

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

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 = 7680936557592 and 7680936557601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7680936557663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23523397 + ... + 23847684.

It is an arithmetic number, because the mean of its divisors is an integer number (303909176571).

Almost surely, 2^{7680936557664} is an apocalyptic number.

It is an amenable number.

7680936557664 is an abundant number, since it is smaller than the sum of its proper divisors (14200524155448).

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

7680936557664 is a wasteful number, since it uses less digits than its factorization.

7680936557664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47371660 (or 47371649 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 7680936557664 in words is "seven trillion, six hundred eighty billion, nine hundred thirty-six million, five hundred fifty-seven thousand, six hundred sixty-four".