77635681317 has 12 divisors (see below), whose sum is σ = 112621721004. Its totient is φ = 51534985920.

The previous prime is 77635681303. The next prime is 77635681339. The reversal of 77635681317 is 71318653677.

77635681317 is a `hidden beast` number, since 7 + 7 + 63 + 568 + 1 + 3 + 17 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22954068036 + 54681613281 = 151506^2 + 233841^2 .

It is not a de Polignac number, because 77635681317 - 2²² = 77631487013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77635689317) 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 11 ways as a sum of consecutive naturals, for example, 18509034 + ... + 18513227.

It is an arithmetic number, because the mean of its divisors is an integer number (9385143417).

Almost surely, 2^77635681317 is an apocalyptic number.

It is an amenable number.

77635681317 is a deficient number, since it is larger than the sum of its proper divisors (34986039687).

77635681317 is a wasteful number, since it uses less digits than its factorization.

77635681317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37022500 (or 37022497 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The spelling of 77635681317 in words is "seventy-seven billion, six hundred thirty-five million, six hundred eighty-one thousand, three hundred seventeen".