82668686628 has 48 divisors (see below), whose sum is σ = 215323105536. Its totient is φ = 24468531360.

The previous prime is 82668686621. The next prime is 82668686651.

82668686628 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82668686628² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (82668686621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7276626 + ... + 7287977.

It is an arithmetic number, because the mean of its divisors is an integer number (4485898032).

Almost surely, 2^82668686628 is an apocalyptic number.

It is an amenable number.

82668686628 is an abundant number, since it is smaller than the sum of its proper divisors (132654418908).

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

82668686628 is a wasteful number, since it uses less digits than its factorization.

82668686628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14564664 (or 14564662 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 66.

The spelling of 82668686628 in words is "eighty-two billion, six hundred sixty-eight million, six hundred eighty-six thousand, six hundred twenty-eight".