320845589064 has 384 divisors, whose sum is σ = 1167837914880. Its totient is φ = 76851763200.

The previous prime is 320845589047. The next prime is 320845589111. The reversal of 320845589064 is 460985548023.

320845589064 is a `hidden beast` number, since 3 + 2 + 0 + 84 + 558 + 9 + 0 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 320845589064.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125476074 + ... + 125478630.

It is an arithmetic number, because the mean of its divisors is an integer number (3041244570).

Almost surely, 2^320845589064 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 320845589064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583918957440).

320845589064 is an abundant number, since it is smaller than the sum of its proper divisors (846992325816).

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

320845589064 is a wasteful number, since it uses less digits than its factorization.

320845589064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

It can be divided in two parts, 320845 and 589064, that added together give a palindrome (909909).

The spelling of 320845589064 in words is "three hundred twenty billion, eight hundred forty-five million, five hundred eighty-nine thousand, sixty-four".