21793999968 has 480 divisors, whose sum is σ = 73366679232. Its totient is φ = 6295449600.

The previous prime is 21793999961. The next prime is 21794000069. The reversal of 21793999968 is 86999939712.

21793999968 is a `hidden beast` number, since 2 + 179 + 399 + 9 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 21793999896 and 21793999905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21793999961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47275258 + ... + 47275718.

Almost surely, 2^21793999968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21793999968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36683339616).

21793999968 is an abundant number, since it is smaller than the sum of its proper divisors (51572679264).

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

21793999968 is a wasteful number, since it uses less digits than its factorization.

21793999968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 563 counting only the distinct ones).

The product of its digits is 119042784, while the sum is 72.

The spelling of 21793999968 in words is "twenty-one billion, seven hundred ninety-three million, nine hundred ninety-nine thousand, nine hundred sixty-eight".