9957297960 has 192 divisors, whose sum is σ = 33623815680. Its totient is φ = 2552808960.

The previous prime is 9957297923. The next prime is 9957297971. The reversal of 9957297960 is 697927599.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1749279 + ... + 1754961.

It is an arithmetic number, because the mean of its divisors is an integer number (175124040).

Almost surely, 2^9957297960 is an apocalyptic number.

9957297960 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 9957297960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16811907840).

9957297960 is an abundant number, since it is smaller than the sum of its proper divisors (23666517720).

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

9957297960 is a wasteful number, since it uses less digits than its factorization.

9957297960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 19289340, while the sum is 63.

The square root of 9957297960 is about 99786.2613790095. The cubic root of 9957297960 is about 2151.3636893982.

The spelling of 9957297960 in words is "nine billion, nine hundred fifty-seven million, two hundred ninety-seven thousand, nine hundred sixty".