813757618464 has 72 divisors (see below), whose sum is σ = 2484867027888. Its totient is φ = 232502175360.

The previous prime is 813757618463. The next prime is 813757618511. The reversal of 813757618464 is 464816757318.

It is a junction number, because it is equal to n+sod(n) for n = 813757618398 and 813757618407.

It is not an unprimeable number, because it can be changed into a prime (813757618463) 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, 86491642 + ... + 86501049.

It is an arithmetic number, because the mean of its divisors is an integer number (34512042054).

Almost surely, 2^813757618464 is an apocalyptic number.

813757618464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

813757618464 is an abundant number, since it is smaller than the sum of its proper divisors (1671109409424).

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

813757618464 is a wasteful number, since it uses less digits than its factorization.

813757618464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172992718 (or 172992703 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 60.

The spelling of 813757618464 in words is "eight hundred thirteen billion, seven hundred fifty-seven million, six hundred eighteen thousand, four hundred sixty-four".