677805637582413 has 24 divisors (see below), whose sum is σ = 1072390258251000. Its totient is φ = 410624645889024.

The previous prime is 677805637582361. The next prime is 677805637582477. The reversal of 677805637582413 is 314285736508776.

677805637582413 is a `hidden beast` number, since 6 + 7 + 7 + 8 + 0 + 5 + 6 + 37 + 582 + 4 + 1 + 3 = 666.

677805637582413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 238018308776964 + 439787328805449 = 15427842^2 + 20971107^2 .

It is not a de Polignac number, because 677805637582413 - 2⁶ = 677805637582349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677805637583413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76381068088 + ... + 76381076961.

It is an arithmetic number, because the mean of its divisors is an integer number (44682927427125).

Almost surely, 2^{677805637582413} is an apocalyptic number.

It is an amenable number.

677805637582413 is a deficient number, since it is larger than the sum of its proper divisors (394584620668587).

677805637582413 is a wasteful number, since it uses less digits than its factorization.

677805637582413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152762145101 (or 152762145098 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 72.

The spelling of 677805637582413 in words is "six hundred seventy-seven trillion, eight hundred five billion, six hundred thirty-seven million, five hundred eighty-two thousand, four hundred thirteen".