22632674093568 has 960 divisors, whose sum is σ = 86713735680000. Its totient is φ = 5622925271040.

The previous prime is 22632674093531. The next prime is 22632674093569. The reversal of 22632674093568 is 86539047623622.

22632674093568 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 2 + 67 + 4 + 0 + 9 + 3 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (22632674093569) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 399849333 + ... + 399905931.

It is an arithmetic number, because the mean of its divisors is an integer number (90326808000).

Almost surely, 2^{22632674093568} is an apocalyptic number.

22632674093568 is a gapful number since it is divisible by the number (28) 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 22632674093568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43356867840000).

22632674093568 is an abundant number, since it is smaller than the sum of its proper divisors (64081061586432).

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

22632674093568 is a wasteful number, since it uses less digits than its factorization.

22632674093568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56678 (or 56645 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 22632674093568 in words is "twenty-two trillion, six hundred thirty-two billion, six hundred seventy-four million, ninety-three thousand, five hundred sixty-eight".