9710997120 has 512 divisors, whose sum is σ = 38353305600. Its totient is φ = 2301972480.

The previous prime is 9710997083. The next prime is 9710997139. The reversal of 9710997120 is 217990179.

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

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 63 ways as a sum of consecutive naturals, for example, 8933217 + ... + 8934303.

It is an arithmetic number, because the mean of its divisors is an integer number (74908800).

Almost surely, 2^9710997120 is an apocalyptic number.

9710997120 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 9710997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19176652800).

9710997120 is an abundant number, since it is smaller than the sum of its proper divisors (28642308480).

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

9710997120 is a wasteful number, since it uses less digits than its factorization.

9710997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 45.

The square root of 9710997120 is about 98544.3916212384. The cubic root of 9710997120 is about 2133.4768844375.

The spelling of 9710997120 in words is "nine billion, seven hundred ten million, nine hundred ninety-seven thousand, one hundred twenty".