9713887200 has 576 divisors, whose sum is σ = 36897638400. Its totient is φ = 2463436800.

The previous prime is 9713887187. The next prime is 9713887207. The reversal of 9713887200 is 27883179.

9713887200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9713887207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59594319 + ... + 59594481.

It is an arithmetic number, because the mean of its divisors is an integer number (64058400).

Almost surely, 2^9713887200 is an apocalyptic number.

9713887200 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 9713887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18448819200).

9713887200 is an abundant number, since it is smaller than the sum of its proper divisors (27183751200).

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

9713887200 is a wasteful number, since it uses less digits than its factorization.

9713887200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 9713887200 is about 98559.0543785806. The cubic root of 9713887200 is about 2133.6885107419.

The spelling of 9713887200 in words is "nine billion, seven hundred thirteen million, eight hundred eighty-seven thousand, two hundred".