71646664617 has 64 divisors (see below), whose sum is σ = 120101425920. Its totient is φ = 41829696000.

The previous prime is 71646664603. The next prime is 71646664631.

71646664617 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (71646664603) and next prime (71646664631).

It is not a de Polignac number, because 71646664617 - 2⁶ = 71646664553 is a prime.

It is a super-3 number, since 3×71646664617³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (71646664637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1077613 + ... + 1142165.

It is an arithmetic number, because the mean of its divisors is an integer number (1876584780).

Almost surely, 2^71646664617 is an apocalyptic number.

It is an amenable number.

71646664617 is a deficient number, since it is larger than the sum of its proper divisors (48454761303).

71646664617 is a wasteful number, since it uses less digits than its factorization.

71646664617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64711 (or 64705 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 71646664617 in words is "seventy-one billion, six hundred forty-six million, six hundred sixty-four thousand, six hundred seventeen".