71867876817 has 16 divisors (see below), whose sum is σ = 107907194880. Its totient is φ = 42151246800.

The previous prime is 71867876777. The next prime is 71867876819.

71867876817 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 71867876817 - 2²³ = 71859488209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71867876819) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35125017 + ... + 35127062.

It is an arithmetic number, because the mean of its divisors is an integer number (6744199680).

Almost surely, 2^71867876817 is an apocalyptic number.

It is an amenable number.

71867876817 is a deficient number, since it is larger than the sum of its proper divisors (36039318063).

71867876817 is a wasteful number, since it uses less digits than its factorization.

71867876817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70252124.

The product of its digits is 44255232, while the sum is 66.

The spelling of 71867876817 in words is "seventy-one billion, eight hundred sixty-seven million, eight hundred seventy-six thousand, eight hundred seventeen".