27741706067 has 8 divisors (see below), whose sum is σ = 29474712000. Its totient is φ = 26035991784.

The previous prime is 27741706051. The next prime is 27741706073. The reversal of 27741706067 is 76060714772.

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 27741706067 - 2⁴ = 27741706051 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27741700067) 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 7 ways as a sum of consecutive naturals, for example, 6820817 + ... + 6824882.

It is an arithmetic number, because the mean of its divisors is an integer number (3684339000).

Almost surely, 2^27741706067 is an apocalyptic number.

27741706067 is a deficient number, since it is larger than the sum of its proper divisors (1733005933).

27741706067 is a wasteful number, since it uses less digits than its factorization.

27741706067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13645825.

The product of its (nonzero) digits is 691488, while the sum is 47.

The spelling of 27741706067 in words is "twenty-seven billion, seven hundred forty-one million, seven hundred six thousand, sixty-seven".