8638218000 has 320 divisors, whose sum is σ = 31100509440. Its totient is φ = 2291904000.

The previous prime is 8638217971. The next prime is 8638218019. The reversal of 8638218000 is 8128368.

8638218000 is a `hidden beast` number, since 8 + 638 + 2 + 18 + 0 + 0 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18737770 + ... + 18738230.

It is an arithmetic number, because the mean of its divisors is an integer number (97189092).

Almost surely, 2^8638218000 is an apocalyptic number.

8638218000 is a gapful number since it is divisible by the number (80) 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 8638218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15550254720).

8638218000 is an abundant number, since it is smaller than the sum of its proper divisors (22462291440).

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

8638218000 is a wasteful number, since it uses less digits than its factorization.

8638218000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8638218000 is about 92942.0141808859. The cubic root of 8638218000 is about 2051.8300532966.

The spelling of 8638218000 in words is "eight billion, six hundred thirty-eight million, two hundred eighteen thousand".