21984423264 has 72 divisors (see below), whose sum is σ = 64534946112. Its totient is φ = 7091746560.

The previous prime is 21984423217. The next prime is 21984423299. The reversal of 21984423264 is 46232448912.

21984423264 is a `hidden beast` number, since 219 + 8 + 4 + 423 + 2 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1222279 + ... + 1240134.

It is an arithmetic number, because the mean of its divisors is an integer number (896318696).

Almost surely, 2^21984423264 is an apocalyptic number.

21984423264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21984423264 is an abundant number, since it is smaller than the sum of its proper divisors (42550522848).

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

21984423264 is a wasteful number, since it uses less digits than its factorization.

21984423264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462460 (or 2462449 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 21984423264 in words is "twenty-one billion, nine hundred eighty-four million, four hundred twenty-three thousand, two hundred sixty-four".