6728339940 has 288 divisors, whose sum is σ = 22614681600. Its totient is φ = 1489662720.

The previous prime is 6728339929. The next prime is 6728339957. The reversal of 6728339940 is 499338276.

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 95 ways as a sum of consecutive naturals, for example, 13703095 + ... + 13703585.

It is an arithmetic number, because the mean of its divisors is an integer number (78523200).

Almost surely, 2^6728339940 is an apocalyptic number.

6728339940 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 6728339940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11307340800).

6728339940 is an abundant number, since it is smaller than the sum of its proper divisors (15886341660).

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

6728339940 is a wasteful number, since it uses less digits than its factorization.

6728339940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 6728339940 is about 82026.4587800790. The cubic root of 6728339940 is about 1887.8579298110.

The spelling of 6728339940 in words is "six billion, seven hundred twenty-eight million, three hundred thirty-nine thousand, nine hundred forty".