2568837606720 has 672 divisors, whose sum is σ = 10364825681280. Its totient is φ = 533029109760.

The previous prime is 2568837606703. The next prime is 2568837606763. The reversal of 2568837606720 is 276067388652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 412396566 + ... + 412402794.

It is an arithmetic number, because the mean of its divisors is an integer number (15423847740).

Almost surely, 2^{2568837606720} is an apocalyptic number.

2568837606720 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 2568837606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5182412840640).

2568837606720 is an abundant number, since it is smaller than the sum of its proper divisors (7795988074560).

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

2568837606720 is a wasteful number, since it uses less digits than its factorization.

2568837606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7071 (or 7054 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 2568837606720 in words is "two trillion, five hundred sixty-eight billion, eight hundred thirty-seven million, six hundred six thousand, seven hundred twenty".