22746097920 has 864 divisors, whose sum is σ = 96535732608. Its totient is φ = 4508614656.

The previous prime is 22746097901. The next prime is 22746097921. The reversal of 22746097920 is 2979064722.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 22746097920.

It is not an unprimeable number, because it can be changed into a prime (22746097921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41583087 + ... + 41583633.

It is an arithmetic number, because the mean of its divisors is an integer number (111731172).

Almost surely, 2^22746097920 is an apocalyptic number.

22746097920 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 22746097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48267866304).

22746097920 is an abundant number, since it is smaller than the sum of its proper divisors (73789634688).

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

22746097920 is a wasteful number, since it uses less digits than its factorization.

22746097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 22746097920 in words is "twenty-two billion, seven hundred forty-six million, ninety-seven thousand, nine hundred twenty".