22640173920 has 960 divisors, whose sum is σ = 99994245120. Its totient is φ = 4716361728.

The previous prime is 22640173909. The next prime is 22640173943. The reversal of 22640173920 is 2937104622.

22640173920 is a `hidden beast` number, since 2 + 2 + 640 + 1 + 7 + 3 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 286584441 + ... + 286584519.

It is an arithmetic number, because the mean of its divisors is an integer number (104160672).

Almost surely, 2^22640173920 is an apocalyptic number.

22640173920 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 22640173920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49997122560).

22640173920 is an abundant number, since it is smaller than the sum of its proper divisors (77354071200).

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

22640173920 is an frugal number, since it uses more digits than its factorization.

22640173920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 22640173920 in words is "twenty-two billion, six hundred forty million, one hundred seventy-three thousand, nine hundred twenty".