6771731112027 has 120 divisors (see below), whose sum is σ = 12398822422800. Its totient is φ = 3662308629504.

The previous prime is 6771731112019. The next prime is 6771731112077. The reversal of 6771731112027 is 7202111371776.

6771731112027 is a `hidden beast` number, since 67 + 71 + 7 + 311 + 1 + 202 + 7 = 666.

It is not a de Polignac number, because 6771731112027 - 2³ = 6771731112019 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6771731112077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 77856099 + ... + 77943027.

It is an arithmetic number, because the mean of its divisors is an integer number (103323520190).

Almost surely, 2^{6771731112027} is an apocalyptic number.

6771731112027 is a deficient number, since it is larger than the sum of its proper divisors (5627091310773).

6771731112027 is a wasteful number, since it uses less digits than its factorization.

6771731112027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88007 (or 87991 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 45.

The spelling of 6771731112027 in words is "six trillion, seven hundred seventy-one billion, seven hundred thirty-one million, one hundred twelve thousand, twenty-seven".