9971232768 has 312 divisors, whose sum is σ = 34868497248. Its totient is φ = 2680160256.

The previous prime is 9971232767. The next prime is 9971232797. The reversal of 9971232768 is 8672321799.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9971232763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4385680 + ... + 4387952.

It is an arithmetic number, because the mean of its divisors is an integer number (111758004).

Almost surely, 2^9971232768 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 9971232768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17434248624).

9971232768 is an abundant number, since it is smaller than the sum of its proper divisors (24897264480).

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

9971232768 is a wasteful number, since it uses less digits than its factorization.

9971232768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2302 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 9971232768 is about 99856.0602467372. The cubic root of 9971232768 is about 2152.3668017632.

The spelling of 9971232768 in words is "nine billion, nine hundred seventy-one million, two hundred thirty-two thousand, seven hundred sixty-eight".