6482782592 has 128 divisors (see below), whose sum is σ = 15281028000. Its totient is φ = 2700656640.

The previous prime is 6482782591. The next prime is 6482782619. The reversal of 6482782592 is 2952872846.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6482782591) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2726108 + ... + 2728484.

Almost surely, 2^6482782592 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 6482782592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640514000).

6482782592 is an abundant number, since it is smaller than the sum of its proper divisors (8798245408).

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

6482782592 is a wasteful number, since it uses less digits than its factorization.

6482782592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564 (or 2552 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 53.

The square root of 6482782592 is about 80515.7288484679. The cubic root of 6482782592 is about 1864.6063221840.

The spelling of 6482782592 in words is "six billion, four hundred eighty-two million, seven hundred eighty-two thousand, five hundred ninety-two".