22661620800 has 672 divisors, whose sum is σ = 94714771200. Its totient is φ = 4613898240.

The previous prime is 22661620799. The next prime is 22661620801. The reversal of 22661620800 is 802616622.

It is an interprime number because it is at equal distance from previous prime (22661620799) and next prime (22661620801).

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (22661620801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12666306 + ... + 12668094.

It is an arithmetic number, because the mean of its divisors is an integer number (140944600).

Almost surely, 2^22661620800 is an apocalyptic number.

22661620800 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 22661620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47357385600).

22661620800 is an abundant number, since it is smaller than the sum of its proper divisors (72053150400).

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

22661620800 is a wasteful number, since it uses less digits than its factorization.

22661620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 22661620800 in words is "twenty-two billion, six hundred sixty-one million, six hundred twenty thousand, eight hundred".