21633849968640 has 3456 divisors, whose sum is σ = 96700736321280. Its totient is φ = 4027941126144.

The previous prime is 21633849968593. The next prime is 21633849968677. The reversal of 21633849968640 is 4686994833612.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 223029381072 + ... + 223029381168.

It is an arithmetic number, because the mean of its divisors is an integer number (27980537130).

Almost surely, 2^{21633849968640} is an apocalyptic number.

21633849968640 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 21633849968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48350368160640).

21633849968640 is an abundant number, since it is smaller than the sum of its proper divisors (75066886352640).

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

21633849968640 is a wasteful number, since it uses less digits than its factorization.

21633849968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 69.

The spelling of 21633849968640 in words is "twenty-one trillion, six hundred thirty-three billion, eight hundred forty-nine million, nine hundred sixty-eight thousand, six hundred forty".