8318195200 has 480 divisors, whose sum is σ = 25719496704. Its totient is φ = 2601123840.

The previous prime is 8318195159. The next prime is 8318195213. The reversal of 8318195200 is 25918138.

It is a self number, because there is not a number n which added to its sum of digits gives 8318195200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65497537 + ... + 65497663.

Almost surely, 2^8318195200 is an apocalyptic number.

8318195200 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 8318195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12859748352).

8318195200 is an abundant number, since it is smaller than the sum of its proper divisors (17401301504).

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

8318195200 is a wasteful number, since it uses less digits than its factorization.

8318195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 8318195200 is about 91204.1402568984. The cubic root of 8318195200 is about 2026.1722786078.

The spelling of 8318195200 in words is "eight billion, three hundred eighteen million, one hundred ninety-five thousand, two hundred".