9608912768 has 384 divisors, whose sum is σ = 25803878400. Its totient is φ = 3479224320.

The previous prime is 9608912743. The next prime is 9608912849. The reversal of 9608912768 is 8672198069.

9608912768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107965268 + ... + 107965356.

It is an arithmetic number, because the mean of its divisors is an integer number (67197600).

Almost surely, 2^9608912768 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 9608912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12901939200).

9608912768 is an abundant number, since it is smaller than the sum of its proper divisors (16194965632).

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

9608912768 is a wasteful number, since it uses less digits than its factorization.

9608912768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 56.

The square root of 9608912768 is about 98025.0619382615. The cubic root of 9608912768 is about 2125.9746591798.

The spelling of 9608912768 in words is "nine billion, six hundred eight million, nine hundred twelve thousand, seven hundred sixty-eight".