9990648000 has 448 divisors, whose sum is σ = 38267274240. Its totient is φ = 2547072000.

The previous prime is 9990647971. The next prime is 9990648047. The reversal of 9990648000 is 8460999.

It is a super-3 number, since 3×9990648000³ (a number of 31 digits) contains 333 as substring.

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

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

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, 4966995 + ... + 4969005.

Almost surely, 2^9990648000 is an apocalyptic number.

9990648000 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 9990648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19133637120).

9990648000 is an abundant number, since it is smaller than the sum of its proper divisors (28276626240).

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

9990648000 is a wasteful number, since it uses less digits than its factorization.

9990648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9990648000 is about 99953.2290623970. The cubic root of 9990648000 is about 2153.7628714527.

The spelling of 9990648000 in words is "nine billion, nine hundred ninety million, six hundred forty-eight thousand".