8481359664 has 300 divisors, whose sum is σ = 26136217800. Its totient is φ = 2654581248.

The previous prime is 8481359659. The next prime is 8481359737. The reversal of 8481359664 is 4669531848.

8481359664 is a `hidden beast` number, since 8 + 48 + 1 + 3 + 596 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4976640) is a multiple of the sum of its prime divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 8481359664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 61016907 + ... + 61017045.

It is an arithmetic number, because the mean of its divisors is an integer number (87120726).

Almost surely, 2^8481359664 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 8481359664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13068108900).

8481359664 is an abundant number, since it is smaller than the sum of its proper divisors (17654858136).

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

8481359664 is a wasteful number, since it uses less digits than its factorization.

8481359664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 256 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 8481359664 is about 92094.2976736345. The cubic root of 8481359664 is about 2039.3346272942.

The spelling of 8481359664 in words is "eight billion, four hundred eighty-one million, three hundred fifty-nine thousand, six hundred sixty-four".