580640940000 has 960 divisors, whose sum is σ = 2323956096000. Its totient is φ = 139829760000.

The previous prime is 580640939999. The next prime is 580640940007. The reversal of 580640940000 is 49046085.

580640940000 is a `hidden beast` number, since 5 + 8 + 0 + 640 + 9 + 4 + 0 + 0 + 0 + 0 = 666.

580640940000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580640940007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1419659796 + ... + 1419660204.

It is an arithmetic number, because the mean of its divisors is an integer number (2420787600).

Almost surely, 2^580640940000 is an apocalyptic number.

580640940000 is a gapful number since it is divisible by the number (50) 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 580640940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161978048000).

580640940000 is an abundant number, since it is smaller than the sum of its proper divisors (1743315156000).

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

580640940000 is a wasteful number, since it uses less digits than its factorization.

580640940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 580640940000 its reverse (49046085), we get a palindrome (580689986085).

The spelling of 580640940000 in words is "five hundred eighty billion, six hundred forty million, nine hundred forty thousand".