27680450759 has 8 divisors (see below), whose sum is σ = 30502966032. Its totient is φ = 24956971200.

The previous prime is 27680450747. The next prime is 27680450773. The reversal of 27680450759 is 95705408672.

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 27680450759 - 2²⁰ = 27679402183 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27680450759.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27680450779) 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 7 ways as a sum of consecutive naturals, for example, 24758342 + ... + 24759459.

It is an arithmetic number, because the mean of its divisors is an integer number (3812870754).

Almost surely, 2^27680450759 is an apocalyptic number.

27680450759 is a deficient number, since it is larger than the sum of its proper divisors (2822515273).

27680450759 is a wasteful number, since it uses less digits than its factorization.

27680450759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49517857.

The product of its (nonzero) digits is 4233600, while the sum is 53.

The spelling of 27680450759 in words is "twenty-seven billion, six hundred eighty million, four hundred fifty thousand, seven hundred fifty-nine".