9712959200 has 144 divisors (see below), whose sum is σ = 27380060064. Its totient is φ = 3295641600.

The previous prime is 9712959199. The next prime is 9712959211. The reversal of 9712959200 is 29592179.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534260 + ... + 552140.

It is an arithmetic number, because the mean of its divisors is an integer number (190139306).

Almost surely, 2^9712959200 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 9712959200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13690030032).

9712959200 is an abundant number, since it is smaller than the sum of its proper divisors (17667100864).

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

9712959200 is a wasteful number, since it uses less digits than its factorization.

9712959200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18005 (or 17992 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 44.

The square root of 9712959200 is about 98554.3464287598. The cubic root of 9712959200 is about 2133.6205624546.

The spelling of 9712959200 in words is "nine billion, seven hundred twelve million, nine hundred fifty-nine thousand, two hundred".