580669378560 has 1456 divisors, whose sum is σ = 2320556169600. Its totient is φ = 138740760576.

The previous prime is 580669378559. The next prime is 580669378561. The reversal of 580669378560 is 65873966085.

580669378560 is a `hidden beast` number, since 5 + 8 + 0 + 6 + 69 + 3 + 7 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (580669378559) and next prime (580669378561).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580669378561) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6524374996 + ... + 6524375084.

Almost surely, 2^580669378560 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 580669378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160278084800).

580669378560 is an abundant number, since it is smaller than the sum of its proper divisors (1739886791040).

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

580669378560 is an equidigital number, since it uses as much as digits as its factorization.

580669378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 580669378560 in words is "five hundred eighty billion, six hundred sixty-nine million, three hundred seventy-eight thousand, five hundred sixty".