6818992128 has 624 divisors, whose sum is σ = 24043009536. Its totient is φ = 1911029760.

The previous prime is 6818992127. The next prime is 6818992157. The reversal of 6818992128 is 8212998186.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6818992127) 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 47 ways as a sum of consecutive naturals, for example, 219967473 + ... + 219967503.

It is an arithmetic number, because the mean of its divisors is an integer number (38530464).

Almost surely, 2^6818992128 is an apocalyptic number.

6818992128 is a gapful number since it is divisible by the number (68) 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 6818992128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12021504768).

6818992128 is an abundant number, since it is smaller than the sum of its proper divisors (17224017408).

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

6818992128 is a wasteful number, since it uses less digits than its factorization.

6818992128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 66 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 6818992128 is about 82577.1889083178. The cubic root of 6818992128 is about 1896.2986230488.

The spelling of 6818992128 in words is "six billion, eight hundred eighteen million, nine hundred ninety-two thousand, one hundred twenty-eight".