22683608640 has 1008 divisors, whose sum is σ = 103966402176. Its totient is φ = 4428103680.

The previous prime is 22683608621. The next prime is 22683608681. The reversal of 22683608640 is 4680638622.

22683608640 is a `hidden beast` number, since 226 + 8 + 360 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×22683608640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41468847 + ... + 41469393.

It is an arithmetic number, because the mean of its divisors is an integer number (103141272).

Almost surely, 2^22683608640 is an apocalyptic number.

22683608640 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 22683608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51983201088).

22683608640 is an abundant number, since it is smaller than the sum of its proper divisors (81282793536).

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

22683608640 is a wasteful number, since it uses less digits than its factorization.

22683608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 22683608640 in words is "twenty-two billion, six hundred eighty-three million, six hundred eight thousand, six hundred forty".