21642816000 has 960 divisors, whose sum is σ = 84109259520. Its totient is φ = 4920115200.

The previous prime is 21642815959. The next prime is 21642816011. The reversal of 21642816000 is 61824612.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×21642816000² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 746303986 + ... + 746304014.

It is an arithmetic number, because the mean of its divisors is an integer number (87613812).

Almost surely, 2^21642816000 is an apocalyptic number.

21642816000 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 21642816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42054629760).

21642816000 is an abundant number, since it is smaller than the sum of its proper divisors (62466443520).

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

21642816000 is a wasteful number, since it uses less digits than its factorization.

21642816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 21642816000 in words is "twenty-one billion, six hundred forty-two million, eight hundred sixteen thousand".