320658584064 has 480 divisors, whose sum is σ = 1116772272000. Its totient is φ = 80886693888.

The previous prime is 320658584053. The next prime is 320658584069. The reversal of 320658584064 is 460485856023.

It is a junction number, because it is equal to n+sod(n) for n = 320658583998 and 320658584016.

It is not an unprimeable number, because it can be changed into a prime (320658584069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22496812 + ... + 22511060.

It is an arithmetic number, because the mean of its divisors is an integer number (2326608900).

Almost surely, 2^320658584064 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 320658584064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558386136000).

320658584064 is an abundant number, since it is smaller than the sum of its proper divisors (796113687936).

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

320658584064 is a wasteful number, since it uses less digits than its factorization.

320658584064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14320 (or 14297 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 320658584064 in words is "three hundred twenty billion, six hundred fifty-eight million, five hundred eighty-four thousand, sixty-four".