1688117692727 has 8 divisors (see below), whose sum is σ = 1693430462064. Its totient is φ = 1682809132608.

The previous prime is 1688117692687. The next prime is 1688117692777. The reversal of 1688117692727 is 7272967118861.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1688117692727 - 2⁶ = 1688117692663 is a prime.

It is a super-3 number, since 3×1688117692727³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688117692777) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247973 + ... + 1854110.

It is an arithmetic number, because the mean of its divisors is an integer number (211678807758).

Almost surely, 2^{1688117692727} is an apocalyptic number.

1688117692727 is a deficient number, since it is larger than the sum of its proper divisors (5312769337).

1688117692727 is a wasteful number, since it uses less digits than its factorization.

1688117692727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104609.

The product of its digits is 28449792, while the sum is 65.

The spelling of 1688117692727 in words is "one trillion, six hundred eighty-eight billion, one hundred seventeen million, six hundred ninety-two thousand, seven hundred twenty-seven".