71671720689 has 24 divisors (see below), whose sum is σ = 104996835840. Its totient is φ = 47102876352.

The previous prime is 71671720667. The next prime is 71671720699. The reversal of 71671720689 is 98602717617.

It is not a de Polignac number, because 71671720689 - 2¹¹ = 71671718641 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (71671720609) 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 23 ways as a sum of consecutive naturals, for example, 1328952 + ... + 1381830.

It is an arithmetic number, because the mean of its divisors is an integer number (4374868160).

Almost surely, 2^71671720689 is an apocalyptic number.

It is an amenable number.

71671720689 is a deficient number, since it is larger than the sum of its proper divisors (33325115151).

71671720689 is a wasteful number, since it uses less digits than its factorization.

71671720689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55021 (or 55018 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 71671720689 in words is "seventy-one billion, six hundred seventy-one million, seven hundred twenty thousand, six hundred eighty-nine".