6842188080 has 720 divisors, whose sum is σ = 29523199680. Its totient is φ = 1388814336.

The previous prime is 6842188063. The next prime is 6842188127. The reversal of 6842188080 is 808812486.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24700902 + ... + 24701178.

It is an arithmetic number, because the mean of its divisors is an integer number (41004444).

Almost surely, 2^6842188080 is an apocalyptic number.

6842188080 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 6842188080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14761599840).

6842188080 is an abundant number, since it is smaller than the sum of its proper divisors (22681011600).

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

6842188080 is a wasteful number, since it uses less digits than its factorization.

6842188080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 6842188080 is about 82717.5197887364. The cubic root of 6842188080 is about 1898.4463827802.

The spelling of 6842188080 in words is "six billion, eight hundred forty-two million, one hundred eighty-eight thousand, eighty".