6800287872 has 256 divisors, whose sum is σ = 22200422400. Its totient is φ = 1800880128.

The previous prime is 6800287843. The next prime is 6800287873. The reversal of 6800287872 is 2787820086.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6800287873) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2398968 + ... + 2401800.

It is an arithmetic number, because the mean of its divisors is an integer number (86720400).

Almost surely, 2^6800287872 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 6800287872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11100211200).

6800287872 is an abundant number, since it is smaller than the sum of its proper divisors (15400134528).

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

6800287872 is a wasteful number, since it uses less digits than its factorization.

6800287872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 6800287872 is about 82463.8579742665. The cubic root of 6800287872 is about 1894.5632085046.

The spelling of 6800287872 in words is "six billion, eight hundred million, two hundred eighty-seven thousand, eight hundred seventy-two".