8486340624 has 160 divisors (see below), whose sum is σ = 24721136000. Its totient is φ = 2787042816.

The previous prime is 8486340589. The next prime is 8486340631. The reversal of 8486340624 is 4260436848.

8486340624 is a `hidden beast` number, since 8 + 4 + 8 + 634 + 0 + 6 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8486340624.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10782759 + ... + 10783545.

It is an arithmetic number, because the mean of its divisors is an integer number (154507100).

Almost surely, 2^8486340624 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 8486340624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12360568000).

8486340624 is an abundant number, since it is smaller than the sum of its proper divisors (16234795376).

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

8486340624 is a wasteful number, since it uses less digits than its factorization.

8486340624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 8486340624 is about 92121.3364210485. The cubic root of 8486340624 is about 2039.7337714860.

The spelling of 8486340624 in words is "eight billion, four hundred eighty-six million, three hundred forty thousand, six hundred twenty-four".