6324013358964 has 288 divisors, whose sum is σ = 18995215599360. Its totient is φ = 1736326969344.

The previous prime is 6324013358911. The next prime is 6324013358977. The reversal of 6324013358964 is 4698533104236.

6324013358964 is a `hidden beast` number, since 6 + 3 + 2 + 40 + 13 + 3 + 589 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6324013358964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 840620107 + ... + 840627629.

It is an arithmetic number, because the mean of its divisors is an integer number (65955609720).

Almost surely, 2^{6324013358964} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6324013358964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9497607799680).

6324013358964 is an abundant number, since it is smaller than the sum of its proper divisors (12671202240396).

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

6324013358964 is a wasteful number, since it uses less digits than its factorization.

6324013358964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8679 (or 8674 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 6324013358964 in words is "six trillion, three hundred twenty-four billion, thirteen million, three hundred fifty-eight thousand, nine hundred sixty-four".