817340679873 has 36 divisors (see below), whose sum is σ = 1222113050964. Its totient is φ = 526366756800.

The previous prime is 817340679847. The next prime is 817340679907. The reversal of 817340679873 is 378976043718.

817340679873 is a `hidden beast` number, since 8 + 1 + 73 + 406 + 7 + 98 + 73 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 174831024384 + 642509655489 = 418128^2 + 801567^2 .

It is not a de Polignac number, because 817340679873 - 2²⁴ = 817323902657 is a prime.

It is a super-3 number, since 3×817340679873³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 817340679873.

It is not an unprimeable number, because it can be changed into a prime (817340679173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4732663 + ... + 4902323.

It is an arithmetic number, because the mean of its divisors is an integer number (33947584749).

Almost surely, 2^817340679873 is an apocalyptic number.

It is an amenable number.

817340679873 is a deficient number, since it is larger than the sum of its proper divisors (404772371091).

817340679873 is a wasteful number, since it uses less digits than its factorization.

817340679873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170286 (or 170252 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 817340679873 in words is "eight hundred seventeen billion, three hundred forty million, six hundred seventy-nine thousand, eight hundred seventy-three".