6887731200 has 312 divisors, whose sum is σ = 26034012288. Its totient is φ = 1573847040.

The previous prime is 6887731199. The next prime is 6887731223. The reversal of 6887731200 is 21377886.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2148799 + ... + 2152001.

Almost surely, 2^6887731200 is an apocalyptic number.

6887731200 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 6887731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13017006144).

6887731200 is an abundant number, since it is smaller than the sum of its proper divisors (19146281088).

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

6887731200 is a wasteful number, since it uses less digits than its factorization.

6887731200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 6887731200 is about 82992.3562745389. The cubic root of 6887731200 is about 1902.6492314286.

The spelling of 6887731200 in words is "six billion, eight hundred eighty-seven million, seven hundred thirty-one thousand, two hundred".