8382558240 has 384 divisors, whose sum is σ = 34353123840. Its totient is φ = 1869004800.

The previous prime is 8382558227. The next prime is 8382558251. The reversal of 8382558240 is 428552838.

8382558240 is a `hidden beast` number, since 8 + 3 + 8 + 25 + 582 + 40 = 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 63 ways as a sum of consecutive naturals, for example, 1236460 + ... + 1243220.

It is an arithmetic number, because the mean of its divisors is an integer number (89461260).

Almost surely, 2^8382558240 is an apocalyptic number.

8382558240 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 8382558240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17176561920).

8382558240 is an abundant number, since it is smaller than the sum of its proper divisors (25970565600).

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

8382558240 is a wasteful number, since it uses less digits than its factorization.

8382558240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6833 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 8382558240 is about 91556.3118523240. The cubic root of 8382558240 is about 2031.3847751015.

The spelling of 8382558240 in words is "eight billion, three hundred eighty-two million, five hundred fifty-eight thousand, two hundred forty".