21982664173680 has 960 divisors, whose sum is σ = 87086886082560. Its totient is φ = 4865810227200.

The previous prime is 21982664173667. The next prime is 21982664173709. The reversal of 21982664173680 is 8637146628912.

21982664173680 is a `hidden beast` number, since 2 + 1 + 9 + 8 + 266 + 4 + 1 + 7 + 368 + 0 = 666.

It is a super-3 number, since 3×21982664173680³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6720470445 + ... + 6720473715.

It is an arithmetic number, because the mean of its divisors is an integer number (90715506336).

Almost surely, 2^{21982664173680} is an apocalyptic number.

21982664173680 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 21982664173680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43543443041280).

21982664173680 is an abundant number, since it is smaller than the sum of its proper divisors (65104221908880).

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

21982664173680 is a wasteful number, since it uses less digits than its factorization.

21982664173680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 21982664173680 in words is "twenty-one trillion, nine hundred eighty-two billion, six hundred sixty-four million, one hundred seventy-three thousand, six hundred eighty".