9680968128 has 112 divisors (see below), whose sum is σ = 28105400736. Its totient is φ = 2922516480.

The previous prime is 9680968109. The next prime is 9680968139. The reversal of 9680968128 is 8218690869.

It is a super-2 number, since 2×9680968128² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95698 + ... + 168878.

It is an arithmetic number, because the mean of its divisors is an integer number (250941078).

Almost surely, 2^9680968128 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 9680968128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14052700368).

9680968128 is an abundant number, since it is smaller than the sum of its proper divisors (18424432608).

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

9680968128 is a wasteful number, since it uses less digits than its factorization.

9680968128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73262 (or 73252 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 57.

The square root of 9680968128 is about 98391.9108870236. The cubic root of 9680968128 is about 2131.2755207076.

The spelling of 9680968128 in words is "nine billion, six hundred eighty million, nine hundred sixty-eight thousand, one hundred twenty-eight".