727746705336077 has 16 divisors (see below), whose sum is σ = 876635198313600. Its totient is φ = 590175664842240.

The previous prime is 727746705336059. The next prime is 727746705336083. The reversal of 727746705336077 is 770633507647727.

It is not a de Polignac number, because 727746705336077 - 2¹⁰ = 727746705335053 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 727746705336077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727746705336017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3595023452 + ... + 3595225877.

It is an arithmetic number, because the mean of its divisors is an integer number (54789699894600).

Almost surely, 2^{727746705336077} is an apocalyptic number.

It is an amenable number.

727746705336077 is a deficient number, since it is larger than the sum of its proper divisors (148888492977523).

727746705336077 is a wasteful number, since it uses less digits than its factorization.

727746705336077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7190250116.

The product of its (nonzero) digits is 1524731040, while the sum is 71.

The spelling of 727746705336077 in words is "seven hundred twenty-seven trillion, seven hundred forty-six billion, seven hundred five million, three hundred thirty-six thousand, seventy-seven".