22976226720 has 480 divisors, whose sum is σ = 84781786320. Its totient is φ = 5852528640.

The previous prime is 22976226709. The next prime is 22976226731. The reversal of 22976226720 is 2762267922.

It is an interprime number because it is at equal distance from previous prime (22976226709) and next prime (22976226731).

It can be written as a sum of positive squares in 8 ways, for example, as 2683654416 + 20292572304 = 51804^2 + 142452^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42469650 + ... + 42470190.

Almost surely, 2^22976226720 is an apocalyptic number.

22976226720 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 22976226720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42390893160).

22976226720 is an abundant number, since it is smaller than the sum of its proper divisors (61805559600).

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

22976226720 is a wasteful number, since it uses less digits than its factorization.

22976226720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 22976226720 in words is "twenty-two billion, nine hundred seventy-six million, two hundred twenty-six thousand, seven hundred twenty".