556784640 has 264 divisors, whose sum is σ = 1981135728. Its totient is φ = 144506880.

The previous prime is 556784609. The next prime is 556784689. The reversal of 556784640 is 46487655.

556784640 is a `hidden beast` number, since 5 + 567 + 8 + 46 + 40 = 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1981300 + ... + 1981580.

It is an arithmetic number, because the mean of its divisors is an integer number (7504302).

Almost surely, 2^556784640 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 556784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990567864).

556784640 is an abundant number, since it is smaller than the sum of its proper divisors (1424351088).

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

556784640 is a wasteful number, since it uses less digits than its factorization.

556784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 334 counting only the distinct ones).

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

The square root of 556784640 is about 23596.2844532778. The cubic root of 556784640 is about 822.6764815020.

The spelling of 556784640 in words is "five hundred fifty-six million, seven hundred eighty-four thousand, six hundred forty".