320484080277504 has 3456 divisors, whose sum is σ = 1214985352089600. Its totient is φ = 80546719334400.

The previous prime is 320484080277469. The next prime is 320484080277563. The reversal of 320484080277504 is 405772080484023.

320484080277504 is a `hidden beast` number, since 3 + 20 + 4 + 8 + 40 + 8 + 0 + 2 + 77 + 504 = 666.

It is a super-2 number, since 2×320484080277504² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 764878473007 + ... + 764878473425.

It is an arithmetic number, because the mean of its divisors is an integer number (351558261600).

Almost surely, 2^{320484080277504} 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 320484080277504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607492676044800).

320484080277504 is an abundant number, since it is smaller than the sum of its proper divisors (894501271812096).

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

320484080277504 is a wasteful number, since it uses less digits than its factorization.

320484080277504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 320484080277504 in words is "three hundred twenty trillion, four hundred eighty-four billion, eighty million, two hundred seventy-seven thousand, five hundred four".