556683680 has 96 divisors (see below), whose sum is σ = 1507330944. Its totient is φ = 190319616.

The previous prime is 556683671. The next prime is 556683727. The reversal of 556683680 is 86386655.

It is a super-3 number, since 3×556683680³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 719774 + ... + 720546.

It is an arithmetic number, because the mean of its divisors is an integer number (15701364).

Almost surely, 2^556683680 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 556683680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753665472).

556683680 is an abundant number, since it is smaller than the sum of its proper divisors (950647264).

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

556683680 is a wasteful number, since it uses less digits than its factorization.

556683680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The square root of 556683680 is about 23594.1450364280. The cubic root of 556683680 is about 822.6267540537.

The spelling of 556683680 in words is "five hundred fifty-six million, six hundred eighty-three thousand, six hundred eighty".