677730693213 has 72 divisors (see below), whose sum is σ = 1158112735416. Its totient is φ = 380704665600.

The previous prime is 677730693209. The next prime is 677730693221. The reversal of 677730693213 is 312396037776.

677730693213 is a `hidden beast` number, since 6 + 7 + 7 + 7 + 306 + 9 + 321 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20590241049 + 657140452164 = 143493^2 + 810642^2 .

It is not a de Polignac number, because 677730693213 - 2² = 677730693209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 677730693213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677730693713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53607373 + ... + 53620013.

It is an arithmetic number, because the mean of its divisors is an integer number (16084899103).

Almost surely, 2^677730693213 is an apocalyptic number.

677730693213 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

677730693213 is a deficient number, since it is larger than the sum of its proper divisors (480382042203).

677730693213 is a wasteful number, since it uses less digits than its factorization.

677730693213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14715 (or 14705 counting only the distinct ones).

The product of its (nonzero) digits is 6001128, while the sum is 54.

The spelling of 677730693213 in words is "six hundred seventy-seven billion, seven hundred thirty million, six hundred ninety-three thousand, two hundred thirteen".