22664625760 has 768 divisors, whose sum is σ = 73574645760. Its totient is φ = 6409912320.

The previous prime is 22664625733. The next prime is 22664625769. The reversal of 22664625760 is 6752646622.

It is a self number, because there is not a number n which added to its sum of digits gives 22664625760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22664625769) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 482226057 + ... + 482226103.

It is an arithmetic number, because the mean of its divisors is an integer number (95800320).

Almost surely, 2^22664625760 is an apocalyptic number.

22664625760 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 22664625760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36787322880).

22664625760 is an abundant number, since it is smaller than the sum of its proper divisors (50910020000).

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

22664625760 is a wasteful number, since it uses less digits than its factorization.

22664625760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 22664625760 in words is "twenty-two billion, six hundred sixty-four million, six hundred twenty-five thousand, seven hundred sixty".