580816908672 has 1024 divisors, whose sum is σ = 2168841830400. Its totient is φ = 132843110400.

The previous prime is 580816908643. The next prime is 580816908673. The reversal of 580816908672 is 276809618085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580816908673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 941356108 + ... + 941356724.

It is an arithmetic number, because the mean of its divisors is an integer number (2118009600).

Almost surely, 2^580816908672 is an apocalyptic number.

580816908672 is a gapful number since it is divisible by the number (52) 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 580816908672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084420915200).

580816908672 is an abundant number, since it is smaller than the sum of its proper divisors (1588024921728).

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

580816908672 is a wasteful number, since it uses less digits than its factorization.

580816908672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 580816908672 in words is "five hundred eighty billion, eight hundred sixteen million, nine hundred eight thousand, six hundred seventy-two".