71677644677617 has 8 divisors (see below), whose sum is σ = 79264942060320. Its totient is φ = 64268871939360.

The previous prime is 71677644677557. The next prime is 71677644677693.

71677644677617 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 71677644677617 - 2³⁵ = 71643284939249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71677644677917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44631160267 + ... + 44631161872.

It is an arithmetic number, because the mean of its divisors is an integer number (9908117757540).

Almost surely, 2^{71677644677617} is an apocalyptic number.

It is an amenable number.

71677644677617 is a deficient number, since it is larger than the sum of its proper divisors (7587297382703).

71677644677617 is a wasteful number, since it uses less digits than its factorization.

71677644677617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89262322223.

The product of its digits is 2439569664, while the sum is 76.

The spelling of 71677644677617 in words is "seventy-one trillion, six hundred seventy-seven billion, six hundred forty-four million, six hundred seventy-seven thousand, six hundred seventeen".