6582181272 has 64 divisors (see below), whose sum is σ = 17052940800. Its totient is φ = 2114663040.

The previous prime is 6582181169. The next prime is 6582181321. The reversal of 6582181272 is 2721812856.

It is a super-2 number, since 2×6582181272² = 86650220594935075968, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 400497 + ... + 416607.

It is an arithmetic number, because the mean of its divisors is an integer number (266452200).

Almost surely, 2^6582181272 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 6582181272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8526470400).

6582181272 is an abundant number, since it is smaller than the sum of its proper divisors (10470759528).

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

6582181272 is a wasteful number, since it uses less digits than its factorization.

6582181272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16736 (or 16732 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 6582181272 is about 81130.6432366957. The cubic root of 6582181272 is about 1874.0878547160.

The spelling of 6582181272 in words is "six billion, five hundred eighty-two million, one hundred eighty-one thousand, two hundred seventy-two".