8398168800 has 216 divisors, whose sum is σ = 31799511576. Its totient is φ = 1919554560.

The previous prime is 8398168799. The next prime is 8398168913. The reversal of 8398168800 is 88618938.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81894 + ... + 153306.

It is an arithmetic number, because the mean of its divisors is an integer number (147219961).

Almost surely, 2^8398168800 is an apocalyptic number.

8398168800 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 8398168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15899755788).

8398168800 is an abundant number, since it is smaller than the sum of its proper divisors (23401342776).

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

8398168800 is a wasteful number, since it uses less digits than its factorization.

8398168800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71450 (or 71430 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The square root of 8398168800 is about 91641.5233395866. The cubic root of 8398168800 is about 2032.6449866238.

The spelling of 8398168800 in words is "eight billion, three hundred ninety-eight million, one hundred sixty-eight thousand, eight hundred".