580968412416 has 1728 divisors, whose sum is σ = 2262760980480. Its totient is φ = 144850083840.

The previous prime is 580968412411. The next prime is 580968412477. The reversal of 580968412416 is 614214869085.

580968412416 is a `hidden beast` number, since 58 + 0 + 96 + 84 + 12 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580968412411) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8182653661 + ... + 8182653731.

It is an arithmetic number, because the mean of its divisors is an integer number (1309468160).

Almost surely, 2^580968412416 is an apocalyptic number.

580968412416 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 580968412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131380490240).

580968412416 is an abundant number, since it is smaller than the sum of its proper divisors (1681792568064).

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

580968412416 is a wasteful number, since it uses less digits than its factorization.

580968412416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 580968412416 in words is "five hundred eighty billion, nine hundred sixty-eight million, four hundred twelve thousand, four hundred sixteen".