2568323640960 has 768 divisors, whose sum is σ = 11069520134400. Its totient is φ = 533079982080.

The previous prime is 2568323640941. The next prime is 2568323641027. The reversal of 2568323640960 is 690463238652.

It is a happy number.

2568323640960 is a `hidden beast` number, since 2 + 568 + 3 + 2 + 36 + 40 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2568323640897 and 2568323640906.

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, 474120172 + ... + 474125588.

It is an arithmetic number, because the mean of its divisors is an integer number (14413437675).

Almost surely, 2^{2568323640960} is an apocalyptic number.

2568323640960 is a gapful number since it is divisible by the number (20) 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 2568323640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534760067200).

2568323640960 is an abundant number, since it is smaller than the sum of its proper divisors (8501196493440).

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

2568323640960 is a wasteful number, since it uses less digits than its factorization.

2568323640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6529 (or 6514 counting only the distinct ones).

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

The spelling of 2568323640960 in words is "two trillion, five hundred sixty-eight billion, three hundred twenty-three million, six hundred forty thousand, nine hundred sixty".