6876457200 has 960 divisors, whose sum is σ = 28341043200. Its totient is φ = 1573862400.

The previous prime is 6876457171. The next prime is 6876457249. The reversal of 6876457200 is 27546786.

6876457200 is a `hidden beast` number, since 6 + 8 + 76 + 4 + 572 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 146307577 + ... + 146307623.

It is an arithmetic number, because the mean of its divisors is an integer number (29521920).

Almost surely, 2^6876457200 is an apocalyptic number.

6876457200 is a gapful number since it is divisible by the number (60) 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 6876457200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14170521600).

6876457200 is an abundant number, since it is smaller than the sum of its proper divisors (21464586000).

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

6876457200 is a wasteful number, since it uses less digits than its factorization.

6876457200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 6876457200 is about 82924.4065399325. The cubic root of 6876457200 is about 1901.6105642193.

The spelling of 6876457200 in words is "six billion, eight hundred seventy-six million, four hundred fifty-seven thousand, two hundred".