42767715328209 has 27 divisors (see below), whose sum is σ = 63980087596113. Its totient is φ = 27528278125824.

The previous prime is 42767715328189. The next prime is 42767715328223. The reversal of 42767715328209 is 90282351776724.

It is a happy number.

The square root of 42767715328209 is 6539703.

It is a perfect power (a square), and thus also a powerful number.

42767715328209 is a `hidden beast` number, since 4 + 2 + 7 + 6 + 7 + 71 + 532 + 8 + 20 + 9 = 666.

42767715328209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1139669407809 + 41628045920400 = 1067553^2 + 6451980^2 .

It is not a de Polignac number, because 42767715328209 - 2⁷ = 42767715328081 is a prime.

It is a super-2 number, since 2×42767715328209² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42767715326209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 568916577 + ... + 568991745.

It is a 1-persistent number, because it is pandigital, but 2⋅42767715328209 = 85535430656418 is not.

Almost surely, 2^{42767715328209} is an apocalyptic number.

42767715328209 is the 6539703-rd square number.

42767715328209 is the 3269852-nd centered octagonal number.

It is an amenable number.

42767715328209 is a deficient number, since it is larger than the sum of its proper divisors (21212372267904).

42767715328209 is an frugal number, since it uses more digits than its factorization.

42767715328209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150402 (or 75201 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 42767715328209 in words is "forty-two trillion, seven hundred sixty-seven billion, seven hundred fifteen million, three hundred twenty-eight thousand, two hundred nine".