6348959838464 has 72 divisors (see below), whose sum is σ = 13419816841368. Its totient is φ = 2987474124800.

The previous prime is 6348959838409. The next prime is 6348959838503. The reversal of 6348959838464 is 4648389598436.

It can be written as a sum of positive squares in 4 ways, for example, as 5652068798464 + 696891040000 = 2377408^2 + 834800^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52603274 + ... + 52723830.

It is an arithmetic number, because the mean of its divisors is an integer number (186386345019).

Almost surely, 2^{6348959838464} is an apocalyptic number.

6348959838464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6348959838464 is an abundant number, since it is smaller than the sum of its proper divisors (7070857002904).

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

6348959838464 is a wasteful number, since it uses less digits than its factorization.

6348959838464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132691 (or 132677 counting only the distinct ones).

The product of its digits is 4299816960, while the sum is 77.

The spelling of 6348959838464 in words is "six trillion, three hundred forty-eight billion, nine hundred fifty-nine million, eight hundred thirty-eight thousand, four hundred sixty-four".