82707743768 has 64 divisors (see below), whose sum is σ = 168621868800. Its totient is φ = 37804032000.

The previous prime is 82707743761. The next prime is 82707743791. The reversal of 82707743768 is 86734770728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82707743761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20669768 + ... + 20673768.

It is an arithmetic number, because the mean of its divisors is an integer number (2634716700).

Almost surely, 2^82707743768 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 82707743768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84310934400).

82707743768 is an abundant number, since it is smaller than the sum of its proper divisors (85914125032).

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

82707743768 is a wasteful number, since it uses less digits than its factorization.

82707743768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5892 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 59.

The spelling of 82707743768 in words is "eighty-two billion, seven hundred seven million, seven hundred forty-three thousand, seven hundred sixty-eight".