8198359200 has 432 divisors, whose sum is σ = 31159005696. Its totient is φ = 2022451200.

The previous prime is 8198359193. The next prime is 8198359291. The reversal of 8198359200 is 29538918.

It is a happy number.

8198359200 is a `hidden beast` number, since 8 + 1 + 98 + 359 + 200 = 666.

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 71 ways as a sum of consecutive naturals, for example, 5132802 + ... + 5134398.

It is an arithmetic number, because the mean of its divisors is an integer number (72127328).

Almost surely, 2^8198359200 is an apocalyptic number.

8198359200 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 8198359200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15579502848).

8198359200 is an abundant number, since it is smaller than the sum of its proper divisors (22960646496).

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

8198359200 is a wasteful number, since it uses less digits than its factorization.

8198359200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 8198359200 is about 90544.7911257185. The cubic root of 8198359200 is about 2016.3951653561.

The spelling of 8198359200 in words is "eight billion, one hundred ninety-eight million, three hundred fifty-nine thousand, two hundred".