556336872 has 384 divisors, whose sum is σ = 2018016000. Its totient is φ = 134369280.

The previous prime is 556336871. The next prime is 556336877. The reversal of 556336872 is 278633655.

556336872 is a `hidden beast` number, since 5 + 5 + 633 + 6 + 8 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (556336871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5103954 + ... + 5104062.

It is an arithmetic number, because the mean of its divisors is an integer number (5255250).

Almost surely, 2^556336872 is an apocalyptic number.

556336872 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556336872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009008000).

556336872 is an abundant number, since it is smaller than the sum of its proper divisors (1461679128).

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

556336872 is a wasteful number, since it uses less digits than its factorization.

556336872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 194 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 556336872 is about 23586.7944409578. The cubic root of 556336872 is about 822.4558893329.

The spelling of 556336872 in words is "five hundred fifty-six million, three hundred thirty-six thousand, eight hundred seventy-two".