8399689200 has 480 divisors, whose sum is σ = 34459461120. Its totient is φ = 1903564800.

The previous prime is 8399689163. The next prime is 8399689201. The reversal of 8399689200 is 29869938.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8399689201) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 10356795 + ... + 10357605.

It is an arithmetic number, because the mean of its divisors is an integer number (71790544).

Almost surely, 2^8399689200 is an apocalyptic number.

8399689200 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 8399689200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17229730560).

8399689200 is an abundant number, since it is smaller than the sum of its proper divisors (26059771920).

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

8399689200 is a wasteful number, since it uses less digits than its factorization.

8399689200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 8399689200 is about 91649.8183304255. The cubic root of 8399689200 is about 2032.7676422104.

The spelling of 8399689200 in words is "eight billion, three hundred ninety-nine million, six hundred eighty-nine thousand, two hundred".