6881029056 has 672 divisors, whose sum is σ = 24630278400. Its totient is φ = 1881169920.

The previous prime is 6881029039. The next prime is 6881029091. The reversal of 6881029056 is 6509201886.

It is a super-2 number, since 2×6881029056² = 94697121739032502272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94260636 + ... + 94260708.

It is an arithmetic number, because the mean of its divisors is an integer number (36652200).

Almost surely, 2^6881029056 is an apocalyptic number.

6881029056 is a gapful number since it is divisible by the number (66) 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 6881029056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12315139200).

6881029056 is an abundant number, since it is smaller than the sum of its proper divisors (17749249344).

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

6881029056 is a wasteful number, since it uses less digits than its factorization.

6881029056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 6881029056 is about 82951.9683672425. The cubic root of 6881029056 is about 1902.0319034544.

The spelling of 6881029056 in words is "six billion, eight hundred eighty-one million, twenty-nine thousand, fifty-six".