7728687324864 has 84 divisors (see below), whose sum is σ = 24166785575400. Its totient is φ = 2342026460160.

The previous prime is 7728687324863. The next prime is 7728687324899. The reversal of 7728687324864 is 4684237868277.

7728687324864 is a `hidden beast` number, since 7 + 72 + 8 + 6 + 8 + 73 + 2 + 486 + 4 = 666.

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 = 7728687324792 and 7728687324801.

It is not an unprimeable number, because it can be changed into a prime (7728687324863) 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, 609896389 + ... + 609909060.

Almost surely, 2^{7728687324864} is an apocalyptic number.

It is an amenable number.

7728687324864 is an abundant number, since it is smaller than the sum of its proper divisors (16438098250536).

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

7728687324864 is a wasteful number, since it uses less digits than its factorization.

7728687324864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219805478 (or 1219805465 counting only the distinct ones).

The product of its digits is 1213857792, while the sum is 72.

The spelling of 7728687324864 in words is "seven trillion, seven hundred twenty-eight billion, six hundred eighty-seven million, three hundred twenty-four thousand, eight hundred sixty-four".