558746648640 has 1344 divisors, whose sum is σ = 2238486312960. Its totient is φ = 130587033600.

The previous prime is 558746648617. The next prime is 558746648653. The reversal of 558746648640 is 46846647855.

It is a happy number.

558746648640 is a `hidden beast` number, since 5 + 58 + 7 + 4 + 66 + 486 + 40 = 666.

It is a super-2 number, since 2×558746648640² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7654063644 + ... + 7654063716.

Almost surely, 2^558746648640 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 558746648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119243156480).

558746648640 is an abundant number, since it is smaller than the sum of its proper divisors (1679739664320).

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

558746648640 is a wasteful number, since it uses less digits than its factorization.

558746648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 558746648640 in words is "five hundred fifty-eight billion, seven hundred forty-six million, six hundred forty-eight thousand, six hundred forty".