9971910720 has 84 divisors (see below), whose sum is σ = 34299227820. Its totient is φ = 2659175424.

The previous prime is 9971910679. The next prime is 9971910721. The reversal of 9971910720 is 270191799.

It can be written as a sum of positive squares in 2 ways, for example, as 6360381504 + 3611529216 = 79752^2 + 60096^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9971910721) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1728355 + ... + 1734114.

Almost surely, 2^9971910720 is an apocalyptic number.

9971910720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9971910720 is an abundant number, since it is smaller than the sum of its proper divisors (24327317100).

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

9971910720 is a wasteful number, since it uses less digits than its factorization.

9971910720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462492 (or 3462479 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 45.

The square root of 9971910720 is about 99859.4548352834. The cubic root of 9971910720 is about 2152.4155810312.

The spelling of 9971910720 in words is "nine billion, nine hundred seventy-one million, nine hundred ten thousand, seven hundred twenty".