9971264376 has 64 divisors (see below), whose sum is σ = 27966931200. Its totient is φ = 3291477984.

The previous prime is 9971264357. The next prime is 9971264377. The reversal of 9971264376 is 6734621799.

It is a happy number.

9971264376 is a `hidden beast` number, since 9 + 9 + 7 + 1 + 264 + 376 = 666.

9971264376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9971264376² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9971264377) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 201846 + ... + 246341.

It is an arithmetic number, because the mean of its divisors is an integer number (436983300).

Almost surely, 2^9971264376 is an apocalyptic number.

It is an amenable number.

9971264376 is an abundant number, since it is smaller than the sum of its proper divisors (17995666824).

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

9971264376 is a wasteful number, since it uses less digits than its factorization.

9971264376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448305 (or 448295 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 9971264376 is about 99856.2185144220. The cubic root of 9971264376 is about 2152.3690760369.

The spelling of 9971264376 in words is "nine billion, nine hundred seventy-one million, two hundred sixty-four thousand, three hundred seventy-six".