6818013600 has 144 divisors (see below), whose sum is σ = 22422189888. Its totient is φ = 1799331840.

The previous prime is 6818013581. The next prime is 6818013617. The reversal of 6818013600 is 63108186.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 218157 + ... + 247443.

It is an arithmetic number, because the mean of its divisors is an integer number (155709652).

Almost surely, 2^6818013600 is an apocalyptic number.

6818013600 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 6818013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11211094944).

6818013600 is an abundant number, since it is smaller than the sum of its proper divisors (15604176288).

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

6818013600 is a wasteful number, since it uses less digits than its factorization.

6818013600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29407 (or 29394 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 6818013600 is about 82571.2637665187. The cubic root of 6818013600 is about 1896.2079121818.

The spelling of 6818013600 in words is "six billion, eight hundred eighteen million, thirteen thousand, six hundred".