21630336000 has 704 divisors, whose sum is σ = 88697656320. Its totient is φ = 4556390400.

The previous prime is 21630335989. The next prime is 21630336001. The reversal of 21630336000 is 63303612.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21630336001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34943691 + ... + 34944309.

Almost surely, 2^21630336000 is an apocalyptic number.

21630336000 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 21630336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44348828160).

21630336000 is an abundant number, since it is smaller than the sum of its proper divisors (67067320320).

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

21630336000 is a wasteful number, since it uses less digits than its factorization.

21630336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 21630336000 its reverse (63303612), we get a palindrome (21693639612).

The spelling of 21630336000 in words is "twenty-one billion, six hundred thirty million, three hundred thirty-six thousand".