6461239976568 has 96 divisors (see below), whose sum is σ = 18846454667040. Its totient is φ = 1987950263040.

The previous prime is 6461239976551. The next prime is 6461239976579. The reversal of 6461239976568 is 8656799321646.

6461239976568 is a `hidden beast` number, since 6 + 46 + 12 + 3 + 9 + 9 + 7 + 6 + 568 = 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 = 6461239976496 and 6461239976505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15463405 + ... + 15875747.

It is an arithmetic number, because the mean of its divisors is an integer number (196317236115).

Almost surely, 2^{6461239976568} is an apocalyptic number.

It is an amenable number.

6461239976568 is an abundant number, since it is smaller than the sum of its proper divisors (12385214690472).

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

6461239976568 is a wasteful number, since it uses less digits than its factorization.

6461239976568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429109 (or 429102 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 6461239976568 in words is "six trillion, four hundred sixty-one billion, two hundred thirty-nine million, nine hundred seventy-six thousand, five hundred sixty-eight".