21732364800 has 840 divisors, whose sum is σ = 86101175556. Its totient is φ = 5414584320.

The previous prime is 21732364793. The next prime is 21732364879. The reversal of 21732364800 is 846323712.

It is a happy number.

21732364800 is a `hidden beast` number, since 2 + 1 + 7 + 3 + 2 + 3 + 648 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11945615616 + 9786749184 = 109296^2 + 98928^2 .

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

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 83 ways as a sum of consecutive naturals, for example, 158630332 + ... + 158630468.

Almost surely, 2^21732364800 is an apocalyptic number.

21732364800 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 21732364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43050587778).

21732364800 is an abundant number, since it is smaller than the sum of its proper divisors (64368810756).

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

21732364800 is an equidigital number, since it uses as much as digits as its factorization.

21732364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 21732364800 in words is "twenty-one billion, seven hundred thirty-two million, three hundred sixty-four thousand, eight hundred".