820729968359 has 12 divisors (see below), whose sum is σ = 954765357624. Its totient is φ = 703454343984.

The previous prime is 820729968313. The next prime is 820729968427. The reversal of 820729968359 is 953869927028.

It is a de Polignac number, because none of the positive numbers 2^k-820729968359 is a prime.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820729964359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 931397 + ... + 1583969.

It is an arithmetic number, because the mean of its divisors is an integer number (79563779802).

Almost surely, 2^820729968359 is an apocalyptic number.

820729968359 is a deficient number, since it is larger than the sum of its proper divisors (134035389265).

820729968359 is a wasteful number, since it uses less digits than its factorization.

820729968359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678254 (or 678247 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 68.

The spelling of 820729968359 in words is "eight hundred twenty billion, seven hundred twenty-nine million, nine hundred sixty-eight thousand, three hundred fifty-nine".