9909312000 has 640 divisors, whose sum is σ = 38546247168. Its totient is φ = 2211840000.

The previous prime is 9909311989. The next prime is 9909312011. The reversal of 9909312000 is 2139099.

It is an interprime number because it is at equal distance from previous prime (9909311989) and next prime (9909312011).

It is a tau number, because it is divible by the number of its divisors (640).

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, 98111950 + ... + 98112050.

Almost surely, 2^9909312000 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 9909312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19273123584).

9909312000 is an abundant number, since it is smaller than the sum of its proper divisors (28636935168).

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

9909312000 is a wasteful number, since it uses less digits than its factorization.

9909312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 9909312000 is about 99545.5272727007. The cubic root of 9909312000 is about 2147.9021903037.

The spelling of 9909312000 in words is "nine billion, nine hundred nine million, three hundred twelve thousand".