580351428864 has 243 divisors, whose sum is σ = 1708489062553. Its totient is φ = 189464696832.

The previous prime is 580351428841. The next prime is 580351428869. The reversal of 580351428864 is 468824153085.

The square root of 580351428864 is 761808.

It is a perfect power (a square), and thus also a powerful number.

580351428864 is a `hidden beast` number, since 5 + 8 + 0 + 351 + 4 + 288 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38184286464 + 542167142400 = 195408^2 + 736320^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 580351428864.

It is not an unprimeable number, because it can be changed into a prime (580351428869) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2157440122 + ... + 2157440390.

Almost surely, 2^580351428864 is an apocalyptic number.

580351428864 is the 761808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580351428864

580351428864 is an abundant number, since it is smaller than the sum of its proper divisors (1128137633689).

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

580351428864 is an frugal number, since it uses more digits than its factorization.

580351428864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 580351428864 in words is "five hundred eighty billion, three hundred fifty-one million, four hundred twenty-eight thousand, eight hundred sixty-four".