21633752064 has 88 divisors (see below), whose sum is σ = 58452330640. Its totient is φ = 7112392704.

The previous prime is 21633752047. The next prime is 21633752071. The reversal of 21633752064 is 46025733612.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 176022 + ... + 272490.

It is an arithmetic number, because the mean of its divisors is an integer number (664231030).

Almost surely, 2^21633752064 is an apocalyptic number.

21633752064 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 21633752064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29226165320).

21633752064 is an abundant number, since it is smaller than the sum of its proper divisors (36818578576).

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

21633752064 is an equidigital number, since it uses as much as digits as its factorization.

21633752064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96565 (or 96547 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 21633752064 in words is "twenty-one billion, six hundred thirty-three million, seven hundred fifty-two thousand, sixty-four".