9968698272 has 384 divisors, whose sum is σ = 32188907520. Its totient is φ = 2668216320.

The previous prime is 9968698217. The next prime is 9968698301. The reversal of 9968698272 is 2728968699.

Its product of digits (47029248) is a multiple of the sum of its prime factors (756).

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 63 ways as a sum of consecutive naturals, for example, 15126679 + ... + 15127337.

It is an arithmetic number, because the mean of its divisors is an integer number (83825280).

Almost surely, 2^9968698272 is an apocalyptic number.

9968698272 is a gapful number since it is divisible by the number (92) 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 9968698272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16094453760).

9968698272 is an abundant number, since it is smaller than the sum of its proper divisors (22220209248).

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

9968698272 is a wasteful number, since it uses less digits than its factorization.

9968698272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 748 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 66.

The square root of 9968698272 is about 99843.3686931686. The cubic root of 9968698272 is about 2152.1844228657.

The spelling of 9968698272 in words is "nine billion, nine hundred sixty-eight million, six hundred ninety-eight thousand, two hundred seventy-two".