9968789160 has 192 divisors, whose sum is σ = 35396974080. Its totient is φ = 2413048320.

The previous prime is 9968789111. The next prime is 9968789161. The reversal of 9968789160 is 619878699.

It is not an unprimeable number, because it can be changed into a prime (9968789161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3416022 + ... + 3418938.

It is an arithmetic number, because the mean of its divisors is an integer number (184359240).

Almost surely, 2^9968789160 is an apocalyptic number.

9968789160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9968789160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17698487040).

9968789160 is an abundant number, since it is smaller than the sum of its proper divisors (25428184920).

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

9968789160 is a wasteful number, since it uses less digits than its factorization.

9968789160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The square root of 9968789160 is about 99843.8238450431. The cubic root of 9968789160 is about 2152.1909635774.

The spelling of 9968789160 in words is "nine billion, nine hundred sixty-eight million, seven hundred eighty-nine thousand, one hundred sixty".