9713392200 has 324 divisors, whose sum is σ = 34441744155. Its totient is φ = 2453088000.

The previous prime is 9713392189. The next prime is 9713392207. The reversal of 9713392200 is 22933179.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 8625579876 + 1087812324 = 92874^2 + 32982^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=69690.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9713392207) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 96172150 + ... + 96172250.

Almost surely, 2^9713392200 is an apocalyptic number.

9713392200 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 9713392200

9713392200 is an abundant number, since it is smaller than the sum of its proper divisors (24728351955).

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

9713392200 is a wasteful number, since it uses less digits than its factorization.

9713392200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 9713392200 is about 98556.5431617810. The cubic root of 9713392200 is about 2133.6522673126.

The spelling of 9713392200 in words is "nine billion, seven hundred thirteen million, three hundred ninety-two thousand, two hundred".