22875614576640 has 2048 divisors, whose sum is σ = 99655142400000. Its totient is φ = 4862169317376.

The previous prime is 22875614576627. The next prime is 22875614576653. The reversal of 22875614576640 is 4667541657822.

22875614576640 is a `hidden beast` number, since 2 + 2 + 8 + 7 + 5 + 6 + 14 + 576 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (22875614576627) and next prime (22875614576653).

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34712616631 + ... + 34712617289.

It is an arithmetic number, because the mean of its divisors is an integer number (48659737500).

Almost surely, 2^{22875614576640} is an apocalyptic number.

22875614576640 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 22875614576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49827571200000).

22875614576640 is an abundant number, since it is smaller than the sum of its proper divisors (76779527823360).

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

22875614576640 is an equidigital number, since it uses as much as digits as its factorization.

22875614576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 22875614576640 in words is "twenty-two trillion, eight hundred seventy-five billion, six hundred fourteen million, five hundred seventy-six thousand, six hundred forty".