9960717312 has 704 divisors, whose sum is σ = 37635978240. Its totient is φ = 2532114432.

The previous prime is 9960717307. The next prime is 9960717313. The reversal of 9960717312 is 2137170699.

9960717312 is a `hidden beast` number, since 9 + 9 + 607 + 1 + 7 + 31 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9960717313) 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 63 ways as a sum of consecutive naturals, for example, 93090763 + ... + 93090869.

Almost surely, 2^9960717312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9960717312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18817989120).

9960717312 is an abundant number, since it is smaller than the sum of its proper divisors (27675260928).

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

9960717312 is a wasteful number, since it uses less digits than its factorization.

9960717312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 9960717312 is about 99803.3932890060. The cubic root of 9960717312 is about 2151.6099217888.

The spelling of 9960717312 in words is "nine billion, nine hundred sixty million, seven hundred seventeen thousand, three hundred twelve".