556748640 has 720 divisors, whose sum is σ = 2509369632. Its totient is φ = 113467392.

The previous prime is 556748597. The next prime is 556748651. The reversal of 556748640 is 46847655.

556748640 is a `hidden beast` number, since 5 + 567 + 4 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29302551 + ... + 29302569.

Almost surely, 2^556748640 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 556748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254684816).

556748640 is an abundant number, since it is smaller than the sum of its proper divisors (1952620992).

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

556748640 is a wasteful number, since it uses less digits than its factorization.

556748640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 556748640 is about 23595.5216089833. The cubic root of 556748640 is about 822.6587505342.

The spelling of 556748640 in words is "five hundred fifty-six million, seven hundred forty-eight thousand, six hundred forty".