6801599296 has 112 divisors (see below), whose sum is σ = 14281099200. Its totient is φ = 3210375168.

The previous prime is 6801599263. The next prime is 6801599297. The reversal of 6801599296 is 6929951086.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6801599297) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12434095 + ... + 12434641.

Almost surely, 2^6801599296 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 6801599296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7140549600).

6801599296 is an abundant number, since it is smaller than the sum of its proper divisors (7479499904).

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

6801599296 is a wasteful number, since it uses less digits than its factorization.

6801599296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 55.

The square root of 6801599296 is about 82471.8090986247. The cubic root of 6801599296 is about 1894.6849884453.

The spelling of 6801599296 in words is "six billion, eight hundred one million, five hundred ninety-nine thousand, two hundred ninety-six".