682713701568 has 336 divisors, whose sum is σ = 2220533714880. Its totient is φ = 199332790272.

The previous prime is 682713701567. The next prime is 682713701599. The reversal of 682713701568 is 865107317286.

It is a happy number.

682713701568 is a `hidden beast` number, since 6 + 8 + 2 + 7 + 1 + 3 + 70 + 1 + 568 = 666.

682713701568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (682713701567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8292028 + ... + 8373956.

Almost surely, 2^682713701568 is an apocalyptic number.

682713701568 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682713701568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110266857440).

682713701568 is an abundant number, since it is smaller than the sum of its proper divisors (1537820013312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

682713701568 is a wasteful number, since it uses less digits than its factorization.

682713701568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82024 (or 82011 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 682713701568 in words is "six hundred eighty-two billion, seven hundred thirteen million, seven hundred one thousand, five hundred sixty-eight".