8328168000 has 336 divisors, whose sum is σ = 30107266176. Its totient is φ = 2197324800.

The previous prime is 8328167993. The next prime is 8328168041. The reversal of 8328168000 is 8618238.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7415439 + ... + 7416561.

Almost surely, 2^8328168000 is an apocalyptic number.

8328168000 is a gapful number since it is divisible by the number (80) 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 8328168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15053633088).

8328168000 is an abundant number, since it is smaller than the sum of its proper divisors (21779098176).

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

8328168000 is a wasteful number, since it uses less digits than its factorization.

8328168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8328168000 is about 91258.7968362503. The cubic root of 8328168000 is about 2026.9816906040.

The spelling of 8328168000 in words is "eight billion, three hundred twenty-eight million, one hundred sixty-eight thousand".