82766066728 has 32 divisors (see below), whose sum is σ = 157464777600. Its totient is φ = 40776559488.

The previous prime is 82766066723. The next prime is 82766066767.

82766066728 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (82766066723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 538575 + ... + 674977.

It is an arithmetic number, because the mean of its divisors is an integer number (4920774300).

Almost surely, 2^82766066728 is an apocalyptic number.

It is an amenable number.

82766066728 is a deficient number, since it is larger than the sum of its proper divisors (74698710872).

82766066728 is a wasteful number, since it uses less digits than its factorization.

82766066728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137521 (or 137517 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 58.

The spelling of 82766066728 in words is "eighty-two billion, seven hundred sixty-six million, sixty-six thousand, seven hundred twenty-eight".