22625642040624 has 240 divisors, whose sum is σ = 76234340332800. Its totient is φ = 6119453919744.

The previous prime is 22625642040611. The next prime is 22625642040653. The reversal of 22625642040624 is 42604024652622.

22625642040624 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 564 + 20 + 4 + 0 + 62 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22625642040624.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24111622 + ... + 25032410.

It is an arithmetic number, because the mean of its divisors is an integer number (317643084720).

Almost surely, 2^{22625642040624} is an apocalyptic number.

22625642040624 is a gapful number since it is divisible by the number (24) 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 22625642040624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38117170166400).

22625642040624 is an abundant number, since it is smaller than the sum of its proper divisors (53608698292176).

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

22625642040624 is a wasteful number, since it uses less digits than its factorization.

22625642040624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922112 (or 922103 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 22625642040624 in words is "twenty-two trillion, six hundred twenty-five billion, six hundred forty-two million, forty thousand, six hundred twenty-four".