8487475200 has 432 divisors, whose sum is σ = 30853728360. Its totient is φ = 2229534720.

The previous prime is 8487475181. The next prime is 8487475219. The reversal of 8487475200 is 25747848.

8487475200 is a `hidden beast` number, since 8 + 4 + 87 + 47 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8487475181) and next prime (8487475219).

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 35 ways as a sum of consecutive naturals, for example, 52070319 + ... + 52070481.

Almost surely, 2^8487475200 is an apocalyptic number.

8487475200 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 8487475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15426864180).

8487475200 is an abundant number, since it is smaller than the sum of its proper divisors (22366253160).

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

8487475200 is a wasteful number, since it uses less digits than its factorization.

8487475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 8487475200 is about 92127.4942674553. The cubic root of 8487475200 is about 2039.8246677454.

The spelling of 8487475200 in words is "eight billion, four hundred eighty-seven million, four hundred seventy-five thousand, two hundred".