8418213360 has 200 divisors, whose sum is σ = 30028765536. Its totient is φ = 2184122880.

The previous prime is 8418213299. The next prime is 8418213421. The reversal of 8418213360 is 633128148.

8418213360 is a `hidden beast` number, since 84 + 1 + 8 + 213 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (8418213299) and next prime (8418213421).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 222205 + ... + 257315.

Almost surely, 2^8418213360 is an apocalyptic number.

8418213360 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 8418213360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15014382768).

8418213360 is an abundant number, since it is smaller than the sum of its proper divisors (21610552176).

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

8418213360 is a wasteful number, since it uses less digits than its factorization.

8418213360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35173 (or 35158 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8418213360 is about 91750.8221216573. The cubic root of 8418213360 is about 2034.2608588088.

The spelling of 8418213360 in words is "eight billion, four hundred eighteen million, two hundred thirteen thousand, three hundred sixty".