580704768 has 320 divisors, whose sum is σ = 2085937920. Its totient is φ = 155713536.

The previous prime is 580704767. The next prime is 580704779. The reversal of 580704768 is 867407085.

580704768 is a `hidden beast` number, since 580 + 7 + 0 + 4 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580704767) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1644880 + ... + 1645232.

It is an arithmetic number, because the mean of its divisors is an integer number (6518556).

Almost surely, 2^580704768 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 580704768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042968960).

580704768 is an abundant number, since it is smaller than the sum of its proper divisors (1505233152).

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

580704768 is a wasteful number, since it uses less digits than its factorization.

580704768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 580704768 is about 24097.8166645860. The cubic root of 580704768 is about 834.2927392201.

The spelling of 580704768 in words is "five hundred eighty million, seven hundred four thousand, seven hundred sixty-eight".