22766964689664 has 720 divisors, whose sum is σ = 77475974268000. Its totient is φ = 6591762726912.

The previous prime is 22766964689641. The next prime is 22766964689783. The reversal of 22766964689664 is 46698646966722.

22766964689664 is a `hidden beast` number, since 2 + 2 + 7 + 6 + 6 + 9 + 6 + 468 + 96 + 64 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 763132092 + ... + 763161924.

Almost surely, 2^{22766964689664} is an apocalyptic number.

22766964689664 is a gapful number since it is divisible by the number (24) 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 22766964689664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38737987134000).

22766964689664 is an abundant number, since it is smaller than the sum of its proper divisors (54709009578336).

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

22766964689664 is a wasteful number, since it uses less digits than its factorization.

22766964689664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30042 (or 30019 counting only the distinct ones).

The product of its digits is 13544423424, while the sum is 81.

The spelling of 22766964689664 in words is "twenty-two trillion, seven hundred sixty-six billion, nine hundred sixty-four million, six hundred eighty-nine thousand, six hundred sixty-four".