6380564319360 has 768 divisors, whose sum is σ = 27551729836800. Its totient is φ = 1321866362880.

The previous prime is 6380564319341. The next prime is 6380564319391. The reversal of 6380564319360 is 639134650836.

6380564319360 is a `hidden beast` number, since 6 + 3 + 8 + 0 + 564 + 3 + 19 + 3 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6380564319297 and 6380564319306.

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, 149444896 + ... + 149487584.

It is an arithmetic number, because the mean of its divisors is an integer number (35874648225).

Almost surely, 2^{6380564319360} is an apocalyptic number.

6380564319360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6380564319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13775864918400).

6380564319360 is an abundant number, since it is smaller than the sum of its proper divisors (21171165517440).

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

6380564319360 is a wasteful number, since it uses less digits than its factorization.

6380564319360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43069 (or 43054 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 6380564319360 in words is "six trillion, three hundred eighty billion, five hundred sixty-four million, three hundred nineteen thousand, three hundred sixty".