3700727686561 has 2 divisors, whose sum is σ = 3700727686562. Its totient is φ = 3700727686560.

The previous prime is 3700727686559. The next prime is 3700727686609. The reversal of 3700727686561 is 1656867270073.

3700727686561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3473865996561 + 226861690000 = 1863831^2 + 476300^2 .

It is a cyclic number.

It is not a de Polignac number, because 3700727686561 - 2¹ = 3700727686559 is a prime.

Together with 3700727686559, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 3700727686496 and 3700727686505.

It is not a weakly prime, because it can be changed into another prime (3700727666561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1850363843280 + 1850363843281.

It is an arithmetic number, because the mean of its divisors is an integer number (1850363843281).

Almost surely, 2^{3700727686561} is an apocalyptic number.

It is an amenable number.

3700727686561 is a deficient number, since it is larger than the sum of its proper divisors (1).

3700727686561 is an equidigital number, since it uses as much as digits as its factorization.

3700727686561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17781120, while the sum is 58.

The spelling of 3700727686561 in words is "three trillion, seven hundred billion, seven hundred twenty-seven million, six hundred eighty-six thousand, five hundred sixty-one".