6800889600 has 324 divisors, whose sum is σ = 25221026376. Its totient is φ = 1813155840.

The previous prime is 6800889581. The next prime is 6800889611. The reversal of 6800889600 is 69880086.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1553014 + ... + 1557386.

It is an arithmetic number, because the mean of its divisors is an integer number (77842674).

Almost surely, 2^6800889600 is an apocalyptic number.

6800889600 is a gapful number since it is divisible by the number (60) 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 6800889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12610513188).

6800889600 is an abundant number, since it is smaller than the sum of its proper divisors (18420136776).

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

6800889600 is an equidigital number, since it uses as much as digits as its factorization.

6800889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 6800889600 is about 82467.5063282503. The cubic root of 6800889600 is about 1894.6190874187.

The spelling of 6800889600 in words is "six billion, eight hundred million, eight hundred eighty-nine thousand, six hundred".