556763760 has 320 divisors, whose sum is σ = 2288424960. Its totient is φ = 121651200.

The previous prime is 556763759. The next prime is 556763771. The reversal of 556763760 is 67367655.

556763760 is a `hidden beast` number, since 5 + 5 + 6 + 7 + 637 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 346960 + ... + 348560.

It is an arithmetic number, because the mean of its divisors is an integer number (7151328).

Almost surely, 2^556763760 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 556763760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144212480).

556763760 is an abundant number, since it is smaller than the sum of its proper divisors (1731661200).

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

556763760 is a wasteful number, since it uses less digits than its factorization.

556763760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The square root of 556763760 is about 23595.8420065909. The cubic root of 556763760 is about 822.6661976338. Note that the first 3 decimals are identical.

The spelling of 556763760 in words is "five hundred fifty-six million, seven hundred sixty-three thousand, seven hundred sixty".