9713433600 has 1056 divisors, whose sum is σ = 40937379840. Its totient is φ = 2238382080.

The previous prime is 9713433581. The next prime is 9713433601. The reversal of 9713433600 is 63343179.

9713433600 is a `hidden beast` number, since 9 + 7 + 1 + 3 + 43 + 3 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9713433601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206668777 + ... + 206668823.

Almost surely, 2^9713433600 is an apocalyptic number.

9713433600 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 9713433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20468689920).

9713433600 is an abundant number, since it is smaller than the sum of its proper divisors (31223946240).

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

9713433600 is a wasteful number, since it uses less digits than its factorization.

9713433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 9713433600 is about 98556.7531932744. The cubic root of 9713433600 is about 2133.6552986284.

Adding to 9713433600 its reverse (63343179), we get a palindrome (9776776779).

The spelling of 9713433600 in words is "nine billion, seven hundred thirteen million, four hundred thirty-three thousand, six hundred".