22629332880 has 1800 divisors, whose sum is σ = 109195511040. Its totient is φ = 4311014400.

The previous prime is 22629332819. The next prime is 22629332917. The reversal of 22629332880 is 8823392622.

22629332880 is a `hidden beast` number, since 226 + 29 + 3 + 328 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 729978465 + ... + 729978495.

Almost surely, 2^22629332880 is an apocalyptic number.

22629332880 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 22629332880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54597755520).

22629332880 is an abundant number, since it is smaller than the sum of its proper divisors (86566178160).

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

22629332880 is a wasteful number, since it uses less digits than its factorization.

22629332880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 22629332880 in words is "twenty-two billion, six hundred twenty-nine million, three hundred thirty-two thousand, eight hundred eighty".