673579308168 has 160 divisors (see below), whose sum is σ = 2037636437760. Its totient is φ = 206656997760.

The previous prime is 673579308091. The next prime is 673579308169. The reversal of 673579308168 is 861803975376.

673579308168 is a `hidden beast` number, since 67 + 357 + 93 + 0 + 81 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (673579308169) 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 39 ways as a sum of consecutive naturals, for example, 2807913 + ... + 3038343.

It is an arithmetic number, because the mean of its divisors is an integer number (12735227736).

Almost surely, 2^673579308168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673579308168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018818218880).

673579308168 is an abundant number, since it is smaller than the sum of its proper divisors (1364057129592).

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

673579308168 is a wasteful number, since it uses less digits than its factorization.

673579308168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230809 (or 230796 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 673579308168 in words is "six hundred seventy-three billion, five hundred seventy-nine million, three hundred eight thousand, one hundred sixty-eight".