580556906496 has 672 divisors, whose sum is σ = 2023171008768. Its totient is φ = 162915287040.

The previous prime is 580556906443. The next prime is 580556906551. The reversal of 580556906496 is 694609655085.

580556906496 is a `hidden beast` number, since 5 + 8 + 0 + 5 + 56 + 90 + 6 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 850009771 + ... + 850010453.

It is an arithmetic number, because the mean of its divisors is an integer number (3010671144).

Almost surely, 2^580556906496 is an apocalyptic number.

580556906496 is a gapful number since it is divisible by the number (56) 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 580556906496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011585504384).

580556906496 is an abundant number, since it is smaller than the sum of its proper divisors (1442614102272).

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

580556906496 is an frugal number, since it uses more digits than its factorization.

580556906496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 580556906496 in words is "five hundred eighty billion, five hundred fifty-six million, nine hundred six thousand, four hundred ninety-six".