6887682880 has 224 divisors, whose sum is σ = 18128345760. Its totient is φ = 2492006400.

The previous prime is 6887682871. The next prime is 6887682881. The reversal of 6887682880 is 882867886.

It can be written as a sum of positive squares in 16 ways, for example, as 5862658624 + 1025024256 = 76568^2 + 32016^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6887682881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68194830 + ... + 68194930.

It is an arithmetic number, because the mean of its divisors is an integer number (80930115).

Almost surely, 2^6887682880 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 6887682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9064172880).

6887682880 is an abundant number, since it is smaller than the sum of its proper divisors (11240662880).

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

6887682880 is a wasteful number, since it uses less digits than its factorization.

6887682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 61.

The square root of 6887682880 is about 82992.0651628817. The cubic root of 6887682880 is about 1902.6447821538.

The spelling of 6887682880 in words is "six billion, eight hundred eighty-seven million, six hundred eighty-two thousand, eight hundred eighty".