22680628992 has 576 divisors, whose sum is σ = 81236736000. Its totient is φ = 6102024192.

The previous prime is 22680628981. The next prime is 22680629011. The reversal of 22680628992 is 29982608622.

22680628992 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 0 + 628 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99041934 + ... + 99042162.

It is an arithmetic number, because the mean of its divisors is an integer number (141036000).

Almost surely, 2^22680628992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22680628992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40618368000).

22680628992 is an abundant number, since it is smaller than the sum of its proper divisors (58556107008).

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

22680628992 is a wasteful number, since it uses less digits than its factorization.

22680628992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 22680628992 in words is "twenty-two billion, six hundred eighty million, six hundred twenty-eight thousand, nine hundred ninety-two".