6364181818200 has 192 divisors, whose sum is σ = 20769942960000. Its totient is φ = 1607591024640.

The previous prime is 6364181818151. The next prime is 6364181818217. The reversal of 6364181818200 is 28181814636.

It is a self number, because there is not a number n which added to its sum of digits gives 6364181818200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104131251 + ... + 104192349.

It is an arithmetic number, because the mean of its divisors is an integer number (108176786250).

Almost surely, 2^{6364181818200} is an apocalyptic number.

6364181818200 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 6364181818200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10384971480000).

6364181818200 is an abundant number, since it is smaller than the sum of its proper divisors (14405761141800).

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

6364181818200 is a wasteful number, since it uses less digits than its factorization.

6364181818200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70274 (or 70265 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 6364181818200 in words is "six trillion, three hundred sixty-four billion, one hundred eighty-one million, eight hundred eighteen thousand, two hundred".