6887475200 has 288 divisors, whose sum is σ = 18618261480. Its totient is φ = 2516582400.

The previous prime is 6887475181. The next prime is 6887475229. The reversal of 6887475200 is 25747886.

It can be written as a sum of positive squares in 12 ways, for example, as 2458624 + 6885016576 = 1568^2 + 82976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35686304 + ... + 35686496.

Almost surely, 2^6887475200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6887475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9309130740).

6887475200 is an abundant number, since it is smaller than the sum of its proper divisors (11730786280).

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

6887475200 is a wasteful number, since it uses less digits than its factorization.

6887475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 47.

The square root of 6887475200 is about 82990.8139494968. The cubic root of 6887475200 is about 1902.6256588750.

The spelling of 6887475200 in words is "six billion, eight hundred eighty-seven million, four hundred seventy-five thousand, two hundred".