559362672 has 360 divisors, whose sum is σ = 1890972720. Its totient is φ = 159667200.

The previous prime is 559362623. The next prime is 559362697. The reversal of 559362672 is 276263955.

559362672 is a `hidden beast` number, since 559 + 3 + 6 + 26 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 13642972 + ... + 13643012.

It is an arithmetic number, because the mean of its divisors is an integer number (5252702).

Almost surely, 2^559362672 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 559362672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945486360).

559362672 is an abundant number, since it is smaller than the sum of its proper divisors (1331610048).

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

559362672 is a wasteful number, since it uses less digits than its factorization.

559362672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 86 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 559362672 is about 23650.8492870764. The cubic root of 559362672 is about 823.9442495350.

It can be divided in two parts, 5593 and 62672, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 559362672 in words is "five hundred fifty-nine million, three hundred sixty-two thousand, six hundred seventy-two".