9716644000 has 384 divisors, whose sum is σ = 28610330112. Its totient is φ = 3173990400.

The previous prime is 9716643991. The next prime is 9716644073. The reversal of 9716644000 is 4466179.

It is a Harshad number since it is a multiple of its sum of digits (37).

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 63 ways as a sum of consecutive naturals, for example, 85987944 + ... + 85988056.

It is an arithmetic number, because the mean of its divisors is an integer number (74506068).

Almost surely, 2^9716644000 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 9716644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14305165056).

9716644000 is an abundant number, since it is smaller than the sum of its proper divisors (18893686112).

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

9716644000 is a wasteful number, since it uses less digits than its factorization.

9716644000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 9716644000 is about 98573.0389102416. The cubic root of 9716644000 is about 2133.8903384964.

The spelling of 9716644000 in words is "nine billion, seven hundred sixteen million, six hundred forty-four thousand".