9971264160 has 384 divisors, whose sum is σ = 41003262720. Its totient is φ = 2231193600.

The previous prime is 9971264159. The next prime is 9971264183. The reversal of 9971264160 is 614621799.

It is a super-2 number, since 2×9971264160² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 609690 + ... + 625830.

It is an arithmetic number, because the mean of its divisors is an integer number (106779330).

Almost surely, 2^9971264160 is an apocalyptic number.

9971264160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9971264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20501631360).

9971264160 is an abundant number, since it is smaller than the sum of its proper divisors (31031998560).

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

9971264160 is a wasteful number, since it uses less digits than its factorization.

9971264160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16189 (or 16175 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 9971264160 is about 99856.2174328669. The cubic root of 9971264160 is about 2152.3690604952.

The spelling of 9971264160 in words is "nine billion, nine hundred seventy-one million, two hundred sixty-four thousand, one hundred sixty".