6818140224 has 448 divisors, whose sum is σ = 24649297920. Its totient is φ = 1803755520.

The previous prime is 6818140201. The next prime is 6818140249. The reversal of 6818140224 is 4220418186.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×6818140224² = 92974072228253540352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 14599639 + ... + 14600105.

Almost surely, 2^6818140224 is an apocalyptic number.

6818140224 is a gapful number since it is divisible by the number (64) 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 6818140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12324648960).

6818140224 is an abundant number, since it is smaller than the sum of its proper divisors (17831157696).

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

6818140224 is a wasteful number, since it uses less digits than its factorization.

6818140224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 6818140224 is about 82572.0305188143. The cubic root of 6818140224 is about 1896.2196508865.

The spelling of 6818140224 in words is "six billion, eight hundred eighteen million, one hundred forty thousand, two hundred twenty-four".