22972631760 has 480 divisors, whose sum is σ = 89499271680. Its totient is φ = 5229821952.

The previous prime is 22972631741. The next prime is 22972631783. The reversal of 22972631760 is 6713627922.

22972631760 is a `hidden beast` number, since 2 + 2 + 9 + 7 + 2 + 631 + 7 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9386857 + ... + 9389303.

It is an arithmetic number, because the mean of its divisors is an integer number (186456816).

Almost surely, 2^22972631760 is an apocalyptic number.

22972631760 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 22972631760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44749635840).

22972631760 is an abundant number, since it is smaller than the sum of its proper divisors (66526639920).

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

22972631760 is a wasteful number, since it uses less digits than its factorization.

22972631760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 22972631760 in words is "twenty-two billion, nine hundred seventy-two million, six hundred thirty-one thousand, seven hundred sixty".