9930168000 has 448 divisors, whose sum is σ = 37633290240. Its totient is φ = 2560896000.

The previous prime is 9930167983. The next prime is 9930168011. The reversal of 9930168000 is 8610399.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6695259 + ... + 6696741.

It is an arithmetic number, because the mean of its divisors is an integer number (84002880).

Almost surely, 2^9930168000 is an apocalyptic number.

9930168000 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 9930168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18816645120).

9930168000 is an abundant number, since it is smaller than the sum of its proper divisors (27703122240).

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

9930168000 is a wasteful number, since it uses less digits than its factorization.

9930168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9930168000 is about 99650.2282987851. The cubic root of 9930168000 is about 2149.4080216246.

Adding to 9930168000 its reverse (8610399), we get a palindrome (9938778399).

The spelling of 9930168000 in words is "nine billion, nine hundred thirty million, one hundred sixty-eight thousand".