9916329600 has 576 divisors, whose sum is σ = 37883289600. Its totient is φ = 2464358400.

The previous prime is 9916329589. The next prime is 9916329601. The reversal of 9916329600 is 69236199.

It is a happy number.

9916329600 is a `hidden beast` number, since 9 + 9 + 1 + 6 + 32 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (9916329601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25891009 + ... + 25891391.

It is an arithmetic number, because the mean of its divisors is an integer number (65769600).

Almost surely, 2^9916329600 is an apocalyptic number.

9916329600 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 9916329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18941644800).

9916329600 is an abundant number, since it is smaller than the sum of its proper divisors (27966960000).

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

9916329600 is a wasteful number, since it uses less digits than its factorization.

9916329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 9916329600 is about 99580.7692277982. The cubic root of 9916329600 is about 2148.4091061433.

The spelling of 9916329600 in words is "nine billion, nine hundred sixteen million, three hundred twenty-nine thousand, six hundred".