21968063712 has 288 divisors, whose sum is σ = 74353616064. Its totient is φ = 6021734400.

The previous prime is 21968063707. The next prime is 21968063737. The reversal of 21968063712 is 21736086912.

21968063712 is a `hidden beast` number, since 2 + 1 + 9 + 6 + 8 + 0 + 637 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5039838 + ... + 5044194.

It is an arithmetic number, because the mean of its divisors is an integer number (258172278).

Almost surely, 2^21968063712 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 21968063712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37176808032).

21968063712 is an abundant number, since it is smaller than the sum of its proper divisors (52385552352).

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

21968063712 is a wasteful number, since it uses less digits than its factorization.

21968063712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4471 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 21968063712 in words is "twenty-one billion, nine hundred sixty-eight million, sixty-three thousand, seven hundred twelve".