320540645376 has 360 divisors, whose sum is σ = 1080161786340. Its totient is φ = 91570397184.

The previous prime is 320540645371. The next prime is 320540645413. The reversal of 320540645376 is 673546045023.

320540645376 is a `hidden beast` number, since 3 + 2 + 0 + 54 + 0 + 64 + 537 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320540645371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44251611 + ... + 44258853.

Almost surely, 2^320540645376 is an apocalyptic number.

320540645376 is a gapful number since it is divisible by the number (36) 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 320540645376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540080893170).

320540645376 is an abundant number, since it is smaller than the sum of its proper divisors (759621140964).

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

320540645376 is an frugal number, since it uses more digits than its factorization.

320540645376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299 (or 7255 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 320540645376 in words is "three hundred twenty billion, five hundred forty million, six hundred forty-five thousand, three hundred seventy-six".