82636820563267 has 24 divisors (see below), whose sum is σ = 86604125158320. Its totient is φ = 78827673260160.

The previous prime is 82636820563259. The next prime is 82636820563313. The reversal of 82636820563267 is 76236502863628.

It is a happy number.

It is not a de Polignac number, because 82636820563267 - 2³ = 82636820563259 is a prime.

It is a super-2 number, since 2×82636820563267² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82636820563199 and 82636820563208.

It is not an unprimeable number, because it can be changed into a prime (82636820564267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24025609 + ... + 27248917.

It is an arithmetic number, because the mean of its divisors is an integer number (3608505214930).

Almost surely, 2^{82636820563267} is an apocalyptic number.

82636820563267 is a deficient number, since it is larger than the sum of its proper divisors (3967304595053).

82636820563267 is a wasteful number, since it uses less digits than its factorization.

82636820563267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223751 (or 3223714 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 64.

The spelling of 82636820563267 in words is "eighty-two trillion, six hundred thirty-six billion, eight hundred twenty million, five hundred sixty-three thousand, two hundred sixty-seven".