82664366346628 has 48 divisors (see below), whose sum is σ = 164790500434560. Its totient is φ = 35915877043200.

The previous prime is 82664366346613. The next prime is 82664366346631.

82664366346628 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 27134733 + ... + 30027028.

It is an arithmetic number, because the mean of its divisors is an integer number (3433135425720).

Almost surely, 2^{82664366346628} is an apocalyptic number.

It is an amenable number.

82664366346628 is a deficient number, since it is larger than the sum of its proper divisors (82126134087932).

82664366346628 is a wasteful number, since it uses less digits than its factorization.

82664366346628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57163228 (or 57163226 counting only the distinct ones).

The product of its digits is 1719926784, while the sum is 70.

The spelling of 82664366346628 in words is "eighty-two trillion, six hundred sixty-four billion, three hundred sixty-six million, three hundred forty-six thousand, six hundred twenty-eight".