22460712960 has 384 divisors, whose sum is σ = 82791072000. Its totient is φ = 5092147200.

The previous prime is 22460712941. The next prime is 22460712973. The reversal of 22460712960 is 6921706422.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32040610 + ... + 32041310.

It is an arithmetic number, because the mean of its divisors is an integer number (215601750).

Almost surely, 2^22460712960 is an apocalyptic number.

22460712960 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 22460712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41395536000).

22460712960 is an abundant number, since it is smaller than the sum of its proper divisors (60330359040).

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

22460712960 is a wasteful number, since it uses less digits than its factorization.

22460712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 22460712960 in words is "twenty-two billion, four hundred sixty million, seven hundred twelve thousand, nine hundred sixty".