556879680 has 336 divisors, whose sum is σ = 2286146304. Its totient is φ = 121651200.

The previous prime is 556879669. The next prime is 556879699. The reversal of 556879680 is 86978655.

556879680 is a `hidden beast` number, since 5 + 568 + 79 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×556879680² = 620229955993804800, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 463080 + ... + 464280.

Almost surely, 2^556879680 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 556879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143073152).

556879680 is an abundant number, since it is smaller than the sum of its proper divisors (1729266624).

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

556879680 is a wasteful number, since it uses less digits than its factorization.

556879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 556879680 is about 23598.2982437294. The cubic root of 556879680 is about 822.7232875852.

The spelling of 556879680 in words is "five hundred fifty-six million, eight hundred seventy-nine thousand, six hundred eighty".