6484087584 has 192 divisors, whose sum is σ = 20621018880. Its totient is φ = 1994823936.

The previous prime is 6484087529. The next prime is 6484087601. The reversal of 6484087584 is 4857804846.

6484087584 is a `hidden beast` number, since 6 + 484 + 0 + 87 + 5 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6484087584.

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, 906229 + ... + 913355.

It is an arithmetic number, because the mean of its divisors is an integer number (107401140).

Almost surely, 2^6484087584 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 6484087584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10310509440).

6484087584 is an abundant number, since it is smaller than the sum of its proper divisors (14136931296).

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

6484087584 is an equidigital number, since it uses as much as digits as its factorization.

6484087584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7171 (or 7145 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The square root of 6484087584 is about 80523.8323976200. The cubic root of 6484087584 is about 1864.7314296278.

The spelling of 6484087584 in words is "six billion, four hundred eighty-four million, eighty-seven thousand, five hundred eighty-four".