6418242180 has 288 divisors, whose sum is σ = 23616552960. Its totient is φ = 1378218240.

The previous prime is 6418242179. The next prime is 6418242191. The reversal of 6418242180 is 812428146.

6418242180 is a `hidden beast` number, since 6 + 418 + 24 + 218 + 0 = 666.

It is a super-2 number, since 2×6418242180² = 82387665362262304800, 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3039325 + ... + 3041435.

It is an arithmetic number, because the mean of its divisors is an integer number (82001920).

Almost surely, 2^6418242180 is an apocalyptic number.

6418242180 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 6418242180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11808276480).

6418242180 is an abundant number, since it is smaller than the sum of its proper divisors (17198310780).

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

6418242180 is a wasteful number, since it uses less digits than its factorization.

6418242180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2274 counting only the distinct ones).

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

The square root of 6418242180 is about 80113.9324961645. The cubic root of 6418242180 is about 1858.3978746422.

The spelling of 6418242180 in words is "six billion, four hundred eighteen million, two hundred forty-two thousand, one hundred eighty".