22639723223040 has 3072 divisors, whose sum is σ = 107074566144000. Its totient is φ = 4450310553600.

The previous prime is 22639723223023. The next prime is 22639723223069. The reversal of 22639723223040 is 4032232793622.

22639723223040 is a `hidden beast` number, since 2 + 2 + 6 + 397 + 23 + 2 + 230 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 255 ways as a sum of consecutive naturals, for example, 32763709095 + ... + 32763709785.

It is an arithmetic number, because the mean of its divisors is an integer number (34855002000).

Almost surely, 2^{22639723223040} is an apocalyptic number.

22639723223040 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 22639723223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53537283072000).

22639723223040 is an abundant number, since it is smaller than the sum of its proper divisors (84434842920960).

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

22639723223040 is an equidigital number, since it uses as much as digits as its factorization.

22639723223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 22639723223040 in words is "twenty-two trillion, six hundred thirty-nine billion, seven hundred twenty-three million, two hundred twenty-three thousand, forty".