8284618440 has 512 divisors, whose sum is σ = 32533401600. Its totient is φ = 1859334912.

The previous prime is 8284618439. The next prime is 8284618453. The reversal of 8284618440 is 448164828.

8284618440 is a `hidden beast` number, since 8 + 28 + 4 + 618 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50825799 + ... + 50825961.

It is an arithmetic number, because the mean of its divisors is an integer number (63541800).

Almost surely, 2^8284618440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8284618440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16266700800).

8284618440 is an abundant number, since it is smaller than the sum of its proper divisors (24248783160).

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

8284618440 is a wasteful number, since it uses less digits than its factorization.

8284618440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 8284618440 is about 91019.8793670921. The cubic root of 8284618440 is about 2023.4423577149.

The spelling of 8284618440 in words is "eight billion, two hundred eighty-four million, six hundred eighteen thousand, four hundred forty".