22720025664 has 224 divisors, whose sum is σ = 77280211200. Its totient is φ = 6491155968.

The previous prime is 22720025651. The next prime is 22720025701. The reversal of 22720025664 is 46652002722.

22720025664 is a `hidden beast` number, since 22 + 72 + 0 + 0 + 2 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968182 + ... + 991370.

Almost surely, 2^22720025664 is an apocalyptic number.

22720025664 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 22720025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38640105600).

22720025664 is an abundant number, since it is smaller than the sum of its proper divisors (54560185536).

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

22720025664 is an frugal number, since it uses more digits than its factorization.

22720025664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23229 (or 23201 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 22720025664 in words is "twenty-two billion, seven hundred twenty million, twenty-five thousand, six hundred sixty-four".