1679566740129 has 24 divisors (see below), whose sum is σ = 2617216109352. Its totient is φ = 1033961909760.

The previous prime is 1679566740073. The next prime is 1679566740143. The reversal of 1679566740129 is 9210476659761.

1679566740129 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 566 + 7 + 40 + 1 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 774646419600 + 904920320529 = 880140^2 + 951273^2 .

It is not a de Polignac number, because 1679566740129 - 2³⁶ = 1610847263393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1679566740169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103553782 + ... + 103569999.

It is an arithmetic number, because the mean of its divisors is an integer number (109050671223).

Almost surely, 2^{1679566740129} is an apocalyptic number.

It is an amenable number.

1679566740129 is a deficient number, since it is larger than the sum of its proper divisors (937649369223).

1679566740129 is a wasteful number, since it uses less digits than its factorization.

1679566740129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207123857 (or 207123854 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 1679566740129 in words is "one trillion, six hundred seventy-nine billion, five hundred sixty-six million, seven hundred forty thousand, one hundred twenty-nine".