9971072968 has 16 divisors (see below), whose sum is σ = 19795512780. Its totient is φ = 4692269568.

The previous prime is 9971072959. The next prime is 9971072971. The reversal of 9971072968 is 8692701799.

It is a happy number.

9971072968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9821206404 + 149866564 = 99102^2 + 12242^2 .

It is a super-2 number, since 2×9971072968² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36658221 + ... + 36658492.

Almost surely, 2^9971072968 is an apocalyptic number.

It is an amenable number.

9971072968 is a deficient number, since it is larger than the sum of its proper divisors (9824439812).

9971072968 is a wasteful number, since it uses less digits than its factorization.

9971072968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73316736 (or 73316732 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 58.

The square root of 9971072968 is about 99855.2600917949. The cubic root of 9971072968 is about 2152.3553036846.

The spelling of 9971072968 in words is "nine billion, nine hundred seventy-one million, seventy-two thousand, nine hundred sixty-eight".