9713664000 has 720 divisors, whose sum is σ = 38276050176. Its totient is φ = 2359296000.

The previous prime is 9713663933. The next prime is 9713664013. The reversal of 9713664000 is 4663179.

9713664000 is a `hidden beast` number, since 9 + 7 + 1 + 3 + 6 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 47 ways as a sum of consecutive naturals, for example, 313343985 + ... + 313344015.

Almost surely, 2^9713664000 is an apocalyptic number.

9713664000 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 9713664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19138025088).

9713664000 is an abundant number, since it is smaller than the sum of its proper divisors (28562386176).

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

9713664000 is a wasteful number, since it uses less digits than its factorization.

9713664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 9713664000 is about 98557.9220560174. The cubic root of 9713664000 is about 2133.6721684026.

The spelling of 9713664000 in words is "nine billion, seven hundred thirteen million, six hundred sixty-four thousand".