842179596800 has 60 divisors (see below), whose sum is σ = 2086565778066. Its totient is φ = 336871833600.

The previous prime is 842179596787. The next prime is 842179596809. The reversal of 842179596800 is 8695971248.

It can be written as a sum of positive squares in 3 ways, for example, as 807093811456 + 35085785344 = 898384^2 + 187312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 842179596800.

It is not an unprimeable number, because it can be changed into a prime (842179596809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32884841 + ... + 32910440.

Almost surely, 2^842179596800 is an apocalyptic number.

842179596800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

842179596800 is an abundant number, since it is smaller than the sum of its proper divisors (1244386181266).

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

842179596800 is an equidigital number, since it uses as much as digits as its factorization.

842179596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65795309 (or 65795288 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 59.

The spelling of 842179596800 in words is "eight hundred forty-two billion, one hundred seventy-nine million, five hundred ninety-six thousand, eight hundred".