21667662470304 has 72 divisors (see below), whose sum is σ = 61617870961920. Its totient is φ = 7222500728448.

The previous prime is 21667662470297. The next prime is 21667662470339. The reversal of 21667662470304 is 40307426676612.

21667662470304 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 7 + 6 + 624 + 7 + 0 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66468799 + ... + 66793985.

It is an arithmetic number, because the mean of its divisors is an integer number (855803763360).

Almost surely, 2^{21667662470304} is an apocalyptic number.

21667662470304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21667662470304 is an abundant number, since it is smaller than the sum of its proper divisors (39950208491616).

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

21667662470304 is a wasteful number, since it uses less digits than its factorization.

21667662470304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556562 (or 556551 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 21667662470304 in words is "twenty-one trillion, six hundred sixty-seven billion, six hundred sixty-two million, four hundred seventy thousand, three hundred four".