21633990336 has 336 divisors, whose sum is σ = 74187962368. Its totient is φ = 5897318400.

The previous prime is 21633990307. The next prime is 21633990337. The reversal of 21633990336 is 63309933612.

21633990336 is a `hidden beast` number, since 2 + 1 + 633 + 9 + 9 + 0 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 21633990291 and 21633990300.

It is not an unprimeable number, because it can be changed into a prime (21633990337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9123231 + ... + 9125601.

Almost surely, 2^21633990336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21633990336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37093981184).

21633990336 is an abundant number, since it is smaller than the sum of its proper divisors (52553972032).

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

21633990336 is a wasteful number, since it uses less digits than its factorization.

21633990336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 45.

The spelling of 21633990336 in words is "twenty-one billion, six hundred thirty-three million, nine hundred ninety thousand, three hundred thirty-six".