22720024800 has 432 divisors, whose sum is σ = 90330312240. Its totient is φ = 5507251200.

The previous prime is 22720024793. The next prime is 22720024823. The reversal of 22720024800 is 842002722.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2609254 + ... + 2617946.

It is an arithmetic number, because the mean of its divisors is an integer number (209097945).

Almost surely, 2^22720024800 is an apocalyptic number.

22720024800 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 22720024800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45165156120).

22720024800 is an abundant number, since it is smaller than the sum of its proper divisors (67610287440).

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

22720024800 is a wasteful number, since it uses less digits than its factorization.

22720024800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8744 (or 8714 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 22720024800 in words is "twenty-two billion, seven hundred twenty million, twenty-four thousand, eight hundred".