558013680 has 240 divisors, whose sum is σ = 2183163840. Its totient is φ = 125079552.

The previous prime is 558013663. The next prime is 558013691. The reversal of 558013680 is 86310855.

558013680 is a `hidden beast` number, since 5 + 580 + 13 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×558013680² = 622758534134284800, which contains 22 as substring.

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

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, 266076 + ... + 268164.

It is an arithmetic number, because the mean of its divisors is an integer number (9096516).

Almost surely, 2^558013680 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 558013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091581920).

558013680 is an abundant number, since it is smaller than the sum of its proper divisors (1625150160).

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

558013680 is a wasteful number, since it uses less digits than its factorization.

558013680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 558013680 is about 23622.3131805503. The cubic root of 558013680 is about 823.2813588496.

The spelling of 558013680 in words is "five hundred fifty-eight million, thirteen thousand, six hundred eighty".