6166728405 has 24 divisors (see below), whose sum is σ = 10735690680. Its totient is φ = 3274554240.

The previous prime is 6166728391. The next prime is 6166728409. The reversal of 6166728405 is 5048276616.

6166728405 is a `hidden beast` number, since 616 + 6 + 7 + 28 + 4 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 417752721 + 5748975684 = 20439^2 + 75822^2 .

It is not a de Polignac number, because 6166728405 - 2⁷ = 6166728277 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6166728409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 288906 + ... + 309515.

It is an arithmetic number, because the mean of its divisors is an integer number (447320445).

Almost surely, 2^6166728405 is an apocalyptic number.

It is an amenable number.

6166728405 is a deficient number, since it is larger than the sum of its proper divisors (4568962275).

6166728405 is a wasteful number, since it uses less digits than its factorization.

6166728405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598661 (or 598658 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6166728405 is about 78528.5196918928. The cubic root of 6166728405 is about 1833.7984749433.

The spelling of 6166728405 in words is "six billion, one hundred sixty-six million, seven hundred twenty-eight thousand, four hundred five".