9922812768 has 192 divisors, whose sum is σ = 31825059840. Its totient is φ = 2982873600.

The previous prime is 9922812751. The next prime is 9922812793. The reversal of 9922812768 is 8672182299.

9922812768 is a `hidden beast` number, since 9 + 92 + 281 + 276 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1202898 + ... + 1211118.

It is an arithmetic number, because the mean of its divisors is an integer number (165755520).

Almost surely, 2^9922812768 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 9922812768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15912529920).

9922812768 is an abundant number, since it is smaller than the sum of its proper divisors (21902247072).

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

9922812768 is a wasteful number, since it uses less digits than its factorization.

9922812768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8378 (or 8364 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 9922812768 is about 99613.3162182647. The cubic root of 9922812768 is about 2148.8772048387.

The spelling of 9922812768 in words is "nine billion, nine hundred twenty-two million, eight hundred twelve thousand, seven hundred sixty-eight".