82676374264 has 64 divisors (see below), whose sum is σ = 176680362240. Its totient is φ = 35902056960.

The previous prime is 82676374247. The next prime is 82676374283. The reversal of 82676374264 is 46247367628.

It is a happy number.

It is a super-2 number, since 2×82676374264² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1649152 + ... + 1698544.

It is an arithmetic number, because the mean of its divisors is an integer number (2760630660).

Almost surely, 2^82676374264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82676374264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88340181120).

82676374264 is an abundant number, since it is smaller than the sum of its proper divisors (94003987976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82676374264 is a wasteful number, since it uses less digits than its factorization.

82676374264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50260 (or 50256 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 55.

The spelling of 82676374264 in words is "eighty-two billion, six hundred seventy-six million, three hundred seventy-four thousand, two hundred sixty-four".