289779980672 has 256 divisors, whose sum is σ = 776598036480. Its totient is φ = 104412119040.

The previous prime is 289779980669. The next prime is 289779980729. The reversal of 289779980672 is 276089977982.

It is a self number, because there is not a number n which added to its sum of digits gives 289779980672.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6114893 + ... + 6162099.

It is an arithmetic number, because the mean of its divisors is an integer number (3033586080).

Almost surely, 2^289779980672 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 289779980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388299018240).

289779980672 is an abundant number, since it is smaller than the sum of its proper divisors (486818055808).

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

289779980672 is a wasteful number, since it uses less digits than its factorization.

289779980672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47289 (or 47277 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 74.

The spelling of 289779980672 in words is "two hundred eighty-nine billion, seven hundred seventy-nine million, nine hundred eighty thousand, six hundred seventy-two".