6782115660 has 192 divisors, whose sum is σ = 20791862784. Its totient is φ = 1645056000.

The previous prime is 6782115611. The next prime is 6782115679. The reversal of 6782115660 is 665112876.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4429095 + ... + 4430625.

It is an arithmetic number, because the mean of its divisors is an integer number (108290952).

Almost surely, 2^6782115660 is an apocalyptic number.

6782115660 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6782115660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10395931392).

6782115660 is an abundant number, since it is smaller than the sum of its proper divisors (14009747124).

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

6782115660 is a wasteful number, since it uses less digits than its factorization.

6782115660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 6782115660 is about 82353.6013784461. The cubic root of 6782115660 is about 1892.8741075982.

The spelling of 6782115660 in words is "six billion, seven hundred eighty-two million, one hundred fifteen thousand, six hundred sixty".