6728116905 has 64 divisors (see below), whose sum is σ = 12407704320. Its totient is φ = 3456649728.

The previous prime is 6728116873. The next prime is 6728116909. The reversal of 6728116905 is 5096118276.

It is not a de Polignac number, because 6728116905 - 2⁵ = 6728116873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6728116909) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 415827 + ... + 431703.

It is an arithmetic number, because the mean of its divisors is an integer number (193870380).

Almost surely, 2^6728116905 is an apocalyptic number.

It is an amenable number.

6728116905 is a deficient number, since it is larger than the sum of its proper divisors (5679587415).

6728116905 is a wasteful number, since it uses less digits than its factorization.

6728116905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16007 (or 16001 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 6728116905 is about 82025.0992379772. The cubic root of 6728116905 is about 1887.8370696360.

The spelling of 6728116905 in words is "six billion, seven hundred twenty-eight million, one hundred sixteen thousand, nine hundred five".