556133760 has 384 divisors, whose sum is σ = 2365796160. Its totient is φ = 117227520.

The previous prime is 556133737. The next prime is 556133789. The reversal of 556133760 is 67331655.

It is a happy number.

556133760 is a `hidden beast` number, since 5 + 5 + 613 + 37 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 523630 + ... + 524690.

Almost surely, 2^556133760 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 556133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182898080).

556133760 is an abundant number, since it is smaller than the sum of its proper divisors (1809662400).

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

556133760 is a wasteful number, since it uses less digits than its factorization.

556133760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 556133760 is about 23582.4884183158. The cubic root of 556133760 is about 822.3557875165.

The spelling of 556133760 in words is "five hundred fifty-six million, one hundred thirty-three thousand, seven hundred sixty".