21743664000 has 256 divisors, whose sum is σ = 72358228800. Its totient is φ = 5775974400.

The previous prime is 21743663999. The next prime is 21743664017. The reversal of 21743664000 is 46634712.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 15215286 + ... + 15216714.

Almost surely, 2^21743664000 is an apocalyptic number.

21743664000 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 21743664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36179114400).

21743664000 is an abundant number, since it is smaller than the sum of its proper divisors (50614564800).

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

21743664000 is a wasteful number, since it uses less digits than its factorization.

21743664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 21743664000 in words is "twenty-one billion, seven hundred forty-three million, six hundred sixty-four thousand".