678713605857 has 48 divisors (see below), whose sum is σ = 1124494200960. Its totient is φ = 386426267136.

The previous prime is 678713605811. The next prime is 678713605879. The reversal of 678713605857 is 758506317876.

678713605857 is a `hidden beast` number, since 6 + 7 + 8 + 7 + 13 + 605 + 8 + 5 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-678713605857 is a prime.

It is a super-2 number, since 2×678713605857² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 678713605794 and 678713605803.

It is not an unprimeable number, because it can be changed into a prime (678713605957) 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 47 ways as a sum of consecutive naturals, for example, 34235694 + ... + 34255512.

It is an arithmetic number, because the mean of its divisors is an integer number (23426962520).

Almost surely, 2^678713605857 is an apocalyptic number.

It is an amenable number.

678713605857 is a deficient number, since it is larger than the sum of its proper divisors (445780595103).

678713605857 is a wasteful number, since it uses less digits than its factorization.

678713605857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21782 (or 21779 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 678713605857 in words is "six hundred seventy-eight billion, seven hundred thirteen million, six hundred five thousand, eight hundred fifty-seven".