706716617607 has 256 divisors, whose sum is σ = 1490528256000. Its totient is φ = 318707136000.

The previous prime is 706716617543. The next prime is 706716617647.

706716617607 is a `hidden beast` number, since 7 + 0 + 6 + 7 + 16 + 6 + 17 + 607 = 666.

706716617607 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 706716617607 - 2⁶ = 706716617543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706716617647) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 71373357 + ... + 71383257.

It is an arithmetic number, because the mean of its divisors is an integer number (5822376000).

Almost surely, 2^706716617607 is an apocalyptic number.

706716617607 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

706716617607 is an abundant number, since it is smaller than the sum of its proper divisors (783811638393).

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

706716617607 is a wasteful number, since it uses less digits than its factorization.

706716617607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10099 (or 10093 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 706716617607 in words is "seven hundred six billion, seven hundred sixteen million, six hundred seventeen thousand, six hundred seven".