6801831080 has 96 divisors (see below), whose sum is σ = 16977529800. Its totient is φ = 2450511360.

The previous prime is 6801831059. The next prime is 6801831097. The reversal of 6801831080 is 801381086.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6165076324 + 636754756 = 78518^2 + 25234^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6801831080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521114 + ... + 534006.

Almost surely, 2^6801831080 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 6801831080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8488764900).

6801831080 is an abundant number, since it is smaller than the sum of its proper divisors (10175698720).

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

6801831080 is a wasteful number, since it uses less digits than its factorization.

6801831080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13035 (or 13020 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 6801831080 is about 82473.2143183470. The cubic root of 6801831080 is about 1894.7065104756.

The spelling of 6801831080 in words is "six billion, eight hundred one million, eight hundred thirty-one thousand, eighty".