8082584688240 has 240 divisors, whose sum is σ = 27404533997568. Its totient is φ = 2134727529984.

The previous prime is 8082584688221. The next prime is 8082584688289. The reversal of 8082584688240 is 428864852808.

8082584688240 is a `hidden beast` number, since 8 + 0 + 8 + 2 + 58 + 468 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53599989 + ... + 53750571.

Almost surely, 2^{8082584688240} is an apocalyptic number.

8082584688240 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 8082584688240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13702266998784).

8082584688240 is an abundant number, since it is smaller than the sum of its proper divisors (19321949309328).

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

8082584688240 is a wasteful number, since it uses less digits than its factorization.

8082584688240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151316 (or 151307 counting only the distinct ones).

The product of its (nonzero) digits is 62914560, while the sum is 63.

The spelling of 8082584688240 in words is "eight trillion, eighty-two billion, five hundred eighty-four million, six hundred eighty-eight thousand, two hundred forty".