22980824064 has 704 divisors, whose sum is σ = 80884339200. Its totient is φ = 6370099200.

The previous prime is 22980824063. The next prime is 22980824143. The reversal of 22980824064 is 46042808922.

It is a tau number, because it is divible by the number of its divisors (704).

It is not an unprimeable number, because it can be changed into a prime (22980824063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236915664 + ... + 236915760.

Almost surely, 2^22980824064 is an apocalyptic number.

22980824064 is a gapful number since it is divisible by the number (24) 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 22980824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40442169600).

22980824064 is an abundant number, since it is smaller than the sum of its proper divisors (57903515136).

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

22980824064 is a wasteful number, since it uses less digits than its factorization.

22980824064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 22980824064 in words is "twenty-two billion, nine hundred eighty million, eight hundred twenty-four thousand, sixty-four".