580747680 has 288 divisors, whose sum is σ = 2070484416. Its totient is φ = 148119552.

The previous prime is 580747669. The next prime is 580747697. The reversal of 580747680 is 86747085.

580747680 is a `hidden beast` number, since 580 + 7 + 4 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5139304 + ... + 5139416.

It is an arithmetic number, because the mean of its divisors is an integer number (7189182).

Almost surely, 2^580747680 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 580747680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035242208).

580747680 is an abundant number, since it is smaller than the sum of its proper divisors (1489736736).

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

580747680 is a wasteful number, since it uses less digits than its factorization.

580747680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

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

The square root of 580747680 is about 24098.7070192573. The cubic root of 580747680 is about 834.3132891278.

The spelling of 580747680 in words is "five hundred eighty million, seven hundred forty-seven thousand, six hundred eighty".