766685725985361 has 256 divisors, whose sum is σ = 1395443302400000. Its totient is φ = 370642147626240.

The previous prime is 766685725985327. The next prime is 766685725985363. The reversal of 766685725985361 is 163589527586667.

766685725985361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 766685725985361 - 2³⁰ = 766684652243537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (766685725985363) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27285146490 + ... + 27285174588.

It is an arithmetic number, because the mean of its divisors is an integer number (5450950400000).

Almost surely, 2^{766685725985361} is an apocalyptic number.

It is an amenable number.

766685725985361 is a deficient number, since it is larger than the sum of its proper divisors (628757576414639).

766685725985361 is a wasteful number, since it uses less digits than its factorization.

766685725985361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31649 (or 31635 counting only the distinct ones).

The product of its digits is 27433728000, while the sum is 84.

The spelling of 766685725985361 in words is "seven hundred sixty-six trillion, six hundred eighty-five billion, seven hundred twenty-five million, nine hundred eighty-five thousand, three hundred sixty-one".