9990328320 has 832 divisors, whose sum is σ = 42462144000. Its totient is φ = 2179989504.

The previous prime is 9990328303. The next prime is 9990328357. The reversal of 9990328320 is 238230999.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 112250836 + ... + 112250924.

Almost surely, 2^9990328320 is an apocalyptic number.

9990328320 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 9990328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21231072000).

9990328320 is an abundant number, since it is smaller than the sum of its proper divisors (32471815680).

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

9990328320 is a wasteful number, since it uses less digits than its factorization.

9990328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 9990328320 is about 99951.6299016679. The cubic root of 9990328320 is about 2153.7398992271.

The spelling of 9990328320 in words is "nine billion, nine hundred ninety million, three hundred twenty-eight thousand, three hundred twenty".