9990732000 has 384 divisors, whose sum is σ = 35663846400. Its totient is φ = 2435328000.

The previous prime is 9990731977. The next prime is 9990732053. The reversal of 9990732000 is 2370999.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9990732000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6611245 + ... + 6612755.

It is an arithmetic number, because the mean of its divisors is an integer number (92874600).

Almost surely, 2^9990732000 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 9990732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17831923200).

9990732000 is an abundant number, since it is smaller than the sum of its proper divisors (25673114400).

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

9990732000 is a wasteful number, since it uses less digits than its factorization.

9990732000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 9990732000 is about 99953.6492580436. The cubic root of 9990732000 is about 2153.7689076169.

The spelling of 9990732000 in words is "nine billion, nine hundred ninety million, seven hundred thirty-two thousand".