320540442624 has 204 divisors, whose sum is σ = 930532797376. Its totient is φ = 106324033536.

The previous prime is 320540442617. The next prime is 320540442641. The reversal of 320540442624 is 426244045023.

320540442624 is a `hidden beast` number, since 3 + 20 + 5 + 4 + 0 + 4 + 4 + 2 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131529534 + ... + 131531970.

Almost surely, 2^320540442624 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 320540442624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465266398688).

320540442624 is an abundant number, since it is smaller than the sum of its proper divisors (609992354752).

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

320540442624 is an equidigital number, since it uses as much as digits as its factorization.

320540442624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 320540442624 its reverse (426244045023), we get a palindrome (746784487647).

The spelling of 320540442624 in words is "three hundred twenty billion, five hundred forty million, four hundred forty-two thousand, six hundred twenty-four".