586412068472640 has 672 divisors, whose sum is σ = 2099181626530560. Its totient is φ = 150150251446272.

The previous prime is 586412068472611. The next prime is 586412068472641. The reversal of 586412068472640 is 46274860214685.

It is a happy number.

586412068472640 is a `hidden beast` number, since 5 + 8 + 6 + 41 + 2 + 0 + 68 + 472 + 64 + 0 = 666.

It is a super-2 number, since 2×586412068472640² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (586412068472641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1906610709 + ... + 1906918251.

Almost surely, 2^{586412068472640} 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 586412068472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049590813265280).

586412068472640 is an abundant number, since it is smaller than the sum of its proper divisors (1512769558057920).

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

586412068472640 is a wasteful number, since it uses less digits than its factorization.

586412068472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307871 (or 307858 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 586412068472640 in words is "five hundred eighty-six trillion, four hundred twelve billion, sixty-eight million, four hundred seventy-two thousand, six hundred forty".