320501013664 has 96 divisors (see below), whose sum is σ = 690059865600. Its totient is φ = 145635840000.

The previous prime is 320501013589. The next prime is 320501013691. The reversal of 320501013664 is 466310105023.

It is a super-3 number, since 3×320501013664³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22174312 + ... + 22188760.

It is an arithmetic number, because the mean of its divisors is an integer number (7188123600).

Almost surely, 2^320501013664 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 320501013664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345029932800).

320501013664 is an abundant number, since it is smaller than the sum of its proper divisors (369558851936).

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

320501013664 is a wasteful number, since it uses less digits than its factorization.

320501013664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15294 (or 15286 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 320501013664 its reverse (466310105023), we get a palindrome (786811118687).

The spelling of 320501013664 in words is "three hundred twenty billion, five hundred one million, thirteen thousand, six hundred sixty-four".