556366752 has 96 divisors (see below), whose sum is σ = 1718236800. Its totient is φ = 174541824.

The previous prime is 556366751. The next prime is 556366771. The reversal of 556366752 is 257663655.

556366752 is a `hidden beast` number, since 5 + 5 + 636 + 6 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 556366698 and 556366707.

It is not an unprimeable number, because it can be changed into a prime (556366751) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4252 + ... + 33627.

It is an arithmetic number, because the mean of its divisors is an integer number (17898300).

Almost surely, 2^556366752 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 556366752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859118400).

556366752 is an abundant number, since it is smaller than the sum of its proper divisors (1161870048).

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

556366752 is a wasteful number, since it uses less digits than its factorization.

556366752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37915 (or 37901 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 45.

The square root of 556366752 is about 23587.4278377275. The cubic root of 556366752 is about 822.4706133507.

The spelling of 556366752 in words is "five hundred fifty-six million, three hundred sixty-six thousand, seven hundred fifty-two".