320443856064 has 336 divisors, whose sum is σ = 1016552452032. Its totient is φ = 95995232256.

The previous prime is 320443856039. The next prime is 320443856069. The reversal of 320443856064 is 460658344023.

320443856064 is a `hidden beast` number, since 3 + 2 + 0 + 4 + 4 + 38 + 5 + 606 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (320443856069) 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, 214630102 + ... + 214631594.

Almost surely, 2^320443856064 is an apocalyptic number.

320443856064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320443856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508276226016).

320443856064 is an abundant number, since it is smaller than the sum of its proper divisors (696108595968).

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

320443856064 is a wasteful number, since it uses less digits than its factorization.

320443856064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 320443856064 in words is "three hundred twenty billion, four hundred forty-three million, eight hundred fifty-six thousand, sixty-four".