3023625726864 has 160 divisors (see below), whose sum is σ = 8810197460480. Its totient is φ = 992636726400.

The previous prime is 3023625726859. The next prime is 3023625726883. The reversal of 3023625726864 is 4686275263203.

3023625726864 is a `hidden beast` number, since 3 + 0 + 2 + 3 + 6 + 2 + 572 + 6 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3023625726864.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263124159 + ... + 263135649.

It is an arithmetic number, because the mean of its divisors is an integer number (55063734128).

Almost surely, 2^{3023625726864} 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 3023625726864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4405098730240).

3023625726864 is an abundant number, since it is smaller than the sum of its proper divisors (5786571733616).

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

3023625726864 is a wasteful number, since it uses less digits than its factorization.

3023625726864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20666 (or 20654 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 3023625726864 in words is "three trillion, twenty-three billion, six hundred twenty-five million, seven hundred twenty-six thousand, eight hundred sixty-four".