320908420424880 has 240 divisors, whose sum is σ = 1083977909973504. Its totient is φ = 85078737192960.

The previous prime is 320908420424849. The next prime is 320908420424881. The reversal of 320908420424880 is 88424024809023.

320908420424880 is a `hidden beast` number, since 3 + 20 + 9 + 0 + 84 + 20 + 42 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (320908420424881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463202097 + ... + 463894383.

Almost surely, 2^{320908420424880} is an apocalyptic number.

320908420424880 is a gapful number since it is divisible by the number (30) 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 320908420424880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541988954986752).

320908420424880 is an abundant number, since it is smaller than the sum of its proper divisors (763069489548624).

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

320908420424880 is a wasteful number, since it uses less digits than its factorization.

320908420424880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696044 (or 696035 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 320908420424880 in words is "three hundred twenty trillion, nine hundred eight billion, four hundred twenty million, four hundred twenty-four thousand, eight hundred eighty".