6887121696 has 576 divisors, whose sum is σ = 25537075200. Its totient is φ = 1747630080.

The previous prime is 6887121673. The next prime is 6887121721. The reversal of 6887121696 is 6961217886.

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 39809866 + ... + 39810038.

It is an arithmetic number, because the mean of its divisors is an integer number (44335200).

Almost surely, 2^6887121696 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 6887121696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12768537600).

6887121696 is an abundant number, since it is smaller than the sum of its proper divisors (18649953504).

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

6887121696 is a wasteful number, since it uses less digits than its factorization.

6887121696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 229 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 6887121696 is about 82988.6841442856. The cubic root of 6887121696 is about 1902.5931071649.

The spelling of 6887121696 in words is "six billion, eight hundred eighty-seven million, one hundred twenty-one thousand, six hundred ninety-six".