22005730368 has 84 divisors (see below), whose sum is σ = 63406007808. Its totient is φ = 7296802560.

The previous prime is 22005730361. The next prime is 22005730387. The reversal of 22005730368 is 86303750022.

22005730368 is a `hidden beast` number, since 2 + 20 + 0 + 573 + 0 + 3 + 68 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22005730361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10005 + ... + 210027.

Almost surely, 2^22005730368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22005730368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31703003904).

22005730368 is an abundant number, since it is smaller than the sum of its proper divisors (41400277440).

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

22005730368 is a wasteful number, since it uses less digits than its factorization.

22005730368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200232 (or 200219 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 22005730368 in words is "twenty-two billion, five million, seven hundred thirty thousand, three hundred sixty-eight".