9971631360 has 216 divisors, whose sum is σ = 35779729440. Its totient is φ = 2659018752.

The previous prime is 9971631277. The next prime is 9971631379. The reversal of 9971631360 is 631361799.

9971631360 is a `hidden beast` number, since 9 + 9 + 7 + 1 + 631 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295011 + ... + 327069.

Almost surely, 2^9971631360 is an apocalyptic number.

9971631360 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 9971631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17889864720).

9971631360 is an abundant number, since it is smaller than the sum of its proper divisors (25808098080).

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

9971631360 is an equidigital number, since it uses as much as digits as its factorization.

9971631360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32095 (or 32069 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 9971631360 is about 99858.0560595889. The cubic root of 9971631360 is about 2152.3954810909.

The spelling of 9971631360 in words is "nine billion, nine hundred seventy-one million, six hundred thirty-one thousand, three hundred sixty".