22656775680 has 1440 divisors, whose sum is σ = 104597805312. Its totient is φ = 4598415360.

The previous prime is 22656775667. The next prime is 22656775697. The reversal of 22656775680 is 8657765622.

22656775680 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 6 + 77 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 526901739 + ... + 526901781.

Almost surely, 2^22656775680 is an apocalyptic number.

22656775680 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 22656775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52298902656).

22656775680 is an abundant number, since it is smaller than the sum of its proper divisors (81941029632).

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

22656775680 is an equidigital number, since it uses as much as digits as its factorization.

22656775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 22656775680 in words is "twenty-two billion, six hundred fifty-six million, seven hundred seventy-five thousand, six hundred eighty".