9971696128 has 80 divisors (see below), whose sum is σ = 21027805920. Its totient is φ = 4710998016.

The previous prime is 9971696101. The next prime is 9971696129. The reversal of 9971696128 is 8216961799.

It is not an unprimeable number, because it can be changed into a prime (9971696129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4444575 + ... + 4446817.

It is an arithmetic number, because the mean of its divisors is an integer number (262847574).

Almost surely, 2^9971696128 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 9971696128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10513902960).

9971696128 is an abundant number, since it is smaller than the sum of its proper divisors (11056109792).

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

9971696128 is a wasteful number, since it uses less digits than its factorization.

9971696128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2721 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 58.

The square root of 9971696128 is about 99858.3803593870. The cubic root of 9971696128 is about 2152.4001411792.

The spelling of 9971696128 in words is "nine billion, nine hundred seventy-one million, six hundred ninety-six thousand, one hundred twenty-eight".