6800189760 has 1008 divisors, whose sum is σ = 30847759488. Its totient is φ = 1388482560.

The previous prime is 6800189749. The next prime is 6800189761. The reversal of 6800189760 is 679810086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6800189761) 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 143 ways as a sum of consecutive naturals, for example, 219360945 + ... + 219360975.

It is an arithmetic number, because the mean of its divisors is an integer number (30602936).

Almost surely, 2^6800189760 is an apocalyptic number.

6800189760 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 6800189760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15423879744).

6800189760 is an abundant number, since it is smaller than the sum of its proper divisors (24047569728).

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

6800189760 is a wasteful number, since it uses less digits than its factorization.

6800189760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 6800189760 is about 82463.2630933314. The cubic root of 6800189760 is about 1894.5540971119.

The spelling of 6800189760 in words is "six billion, eight hundred million, one hundred eighty-nine thousand, seven hundred sixty".