820324666423028 has 72 divisors (see below), whose sum is σ = 1570074284502360. Its totient is φ = 374816835993600.

The previous prime is 820324666423007. The next prime is 820324666423033.

It is a happy number.

820324666423028 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 120648739296484 + 699675927126544 = 10984022^2 + 26451388^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559745876 + ... + 561209492.

It is an arithmetic number, because the mean of its divisors is an integer number (21806587284755).

Almost surely, 2^{820324666423028} is an apocalyptic number.

It is an amenable number.

820324666423028 is a deficient number, since it is larger than the sum of its proper divisors (749749618079332).

820324666423028 is a wasteful number, since it uses less digits than its factorization.

820324666423028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471957 (or 1471942 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 56.

The spelling of 820324666423028 in words is "eight hundred twenty trillion, three hundred twenty-four billion, six hundred sixty-six million, four hundred twenty-three thousand, twenty-eight".