21233664000 has 440 divisors, whose sum is σ = 79171663428. Its totient is φ = 5662310400.

The previous prime is 21233663989. The next prime is 21233664083. The reversal of 21233664000 is 46633212.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (5!)² ⋅ (2!)¹¹.

21233664000 is a `hidden beast` number, since 2 + 12 + 3 + 3 + 6 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14353956864 + 6879707136 = 119808^2 + 82944^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=1920.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4246732798 + ... + 4246732802.

Almost surely, 2^21233664000 is an apocalyptic number.

21233664000 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 21233664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39585831714).

21233664000 is an abundant number, since it is smaller than the sum of its proper divisors (57937999428).

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

21233664000 is an frugal number, since it uses more digits than its factorization.

21233664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

21233664000 divided by its product of nonzero digits (5184) gives a cube (4096000 = 160³).

The spelling of 21233664000 in words is "twenty-one billion, two hundred thirty-three million, six hundred sixty-four thousand".