22624272000 has 1152 divisors, whose sum is σ = 96088749120. Its totient is φ = 5246208000.

The previous prime is 22624271963. The next prime is 22624272001. The reversal of 22624272000 is 27242622.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22624272001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 983663989 + ... + 983664011.

Almost surely, 2^22624272000 is an apocalyptic number.

22624272000 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 22624272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48044374560).

22624272000 is an abundant number, since it is smaller than the sum of its proper divisors (73464477120).

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

22624272000 is an equidigital number, since it uses as much as digits as its factorization.

22624272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 22624272000 in words is "twenty-two billion, six hundred twenty-four million, two hundred seventy-two thousand".