22332672000 has 576 divisors, whose sum is σ = 83710972800. Its totient is φ = 5938790400.

The previous prime is 22332671993. The next prime is 22332672017. The reversal of 22332672000 is 27623322.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62207821 + ... + 62208179.

It is an arithmetic number, because the mean of its divisors is an integer number (145331550).

Almost surely, 2^22332672000 is an apocalyptic number.

22332672000 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 22332672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41855486400).

22332672000 is an abundant number, since it is smaller than the sum of its proper divisors (61378300800).

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

22332672000 is an frugal number, since it uses more digits than its factorization.

22332672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 22332672000 in words is "twenty-two billion, three hundred thirty-two million, six hundred seventy-two thousand".