820568144739 has 64 divisors (see below), whose sum is σ = 1288735293440. Its totient is φ = 454748411520.

The previous prime is 820568144719. The next prime is 820568144761. The reversal of 820568144739 is 937441865028.

It is a happy number.

It is not a de Polignac number, because 820568144739 - 2²⁰ = 820567096163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820568144719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79638462 + ... + 79648764.

It is an arithmetic number, because the mean of its divisors is an integer number (20136488960).

It is a 1-persistent number, because it is pandigital, but 2⋅820568144739 = 1641136289478 is not.

Almost surely, 2^820568144739 is an apocalyptic number.

820568144739 is a deficient number, since it is larger than the sum of its proper divisors (468167148701).

820568144739 is a wasteful number, since it uses less digits than its factorization.

820568144739 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11240.

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 820568144739 in words is "eight hundred twenty billion, five hundred sixty-eight million, one hundred forty-four thousand, seven hundred thirty-nine".