6315430445568 has 960 divisors, whose sum is σ = 20002376908800. Its totient is φ = 1913145163776.

The previous prime is 6315430445509. The next prime is 6315430445593. The reversal of 6315430445568 is 8655440345136.

6315430445568 is a `hidden beast` number, since 6 + 3 + 1 + 5 + 4 + 30 + 4 + 45 + 568 = 666.

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, 42385439158 + ... + 42385439306.

It is an arithmetic number, because the mean of its divisors is an integer number (20835809280).

Almost surely, 2^{6315430445568} 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 6315430445568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10001188454400).

6315430445568 is an abundant number, since it is smaller than the sum of its proper divisors (13686946463232).

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

6315430445568 is a wasteful number, since it uses less digits than its factorization.

6315430445568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 6315430445568 in words is "six trillion, three hundred fifteen billion, four hundred thirty million, four hundred forty-five thousand, five hundred sixty-eight".