8082598464 has 84 divisors (see below), whose sum is σ = 23215305360. Its totient is φ = 2688618240.

The previous prime is 8082598441. The next prime is 8082598487. The reversal of 8082598464 is 4648952808.

8082598464 is a `hidden beast` number, since 8 + 0 + 8 + 2 + 598 + 46 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (8082598441) and next prime (8082598487).

It is a self number, because there is not a number n which added to its sum of digits gives 8082598464.

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 11 ways as a sum of consecutive naturals, for example, 268527 + ... + 297105.

Almost surely, 2^8082598464 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 8082598464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11607652680).

8082598464 is an abundant number, since it is smaller than the sum of its proper divisors (15132706896).

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

8082598464 is a wasteful number, since it uses less digits than its factorization.

8082598464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29088 (or 29075 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 8082598464 is about 89903.2728214051. The cubic root of 8082598464 is about 2006.8596510289.

The spelling of 8082598464 in words is "eight billion, eighty-two million, five hundred ninety-eight thousand, four hundred sixty-four".