8494675200 has 864 divisors, whose sum is σ = 35129001600. Its totient is φ = 1990656000.

The previous prime is 8494675153. The next prime is 8494675213. The reversal of 8494675200 is 25764948.

It is a happy number.

8494675200 is a `hidden beast` number, since 84 + 9 + 46 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77932746 + ... + 77932854.

Almost surely, 2^8494675200 is an apocalyptic number.

8494675200 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 8494675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17564500800).

8494675200 is an abundant number, since it is smaller than the sum of its proper divisors (26634326400).

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

8494675200 is a wasteful number, since it uses less digits than its factorization.

8494675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 8494675200 is about 92166.5622663664. The cubic root of 8494675200 is about 2040.4013051338.

The spelling of 8494675200 in words is "eight billion, four hundred ninety-four million, six hundred seventy-five thousand, two hundred".