556065664 has 192 divisors, whose sum is σ = 1458616320. Its totient is φ = 206300160.

The previous prime is 556065661. The next prime is 556065667. The reversal of 556065664 is 466560655.

It is an interprime number because it is at equal distance from previous prime (556065661) and next prime (556065667).

It is a self number, because there is not a number n which added to its sum of digits gives 556065664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556065661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2493457 + ... + 2493679.

It is an arithmetic number, because the mean of its divisors is an integer number (7596960).

Almost surely, 2^556065664 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 556065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729308160).

556065664 is an abundant number, since it is smaller than the sum of its proper divisors (902550656).

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

556065664 is a wasteful number, since it uses less digits than its factorization.

556065664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The square root of 556065664 is about 23581.0445909421. The cubic root of 556065664 is about 822.3222215956.

The spelling of 556065664 in words is "five hundred fifty-six million, sixty-five thousand, six hundred sixty-four".