556136640 has 336 divisors, whose sum is σ = 2086916832. Its totient is φ = 135364608.

The previous prime is 556136627. The next prime is 556136653. The reversal of 556136640 is 46631655.

556136640 is a `hidden beast` number, since 5 + 5 + 6 + 1 + 3 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (556136627) and next prime (556136653).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 556136595 and 556136604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1811367 + ... + 1811673.

It is an arithmetic number, because the mean of its divisors is an integer number (6211062).

Almost surely, 2^556136640 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 556136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043458416).

556136640 is an abundant number, since it is smaller than the sum of its proper divisors (1530780192).

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

556136640 is a wasteful number, since it uses less digits than its factorization.

556136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 556136640 is about 23582.5494804951. The cubic root of 556136640 is about 822.3572070675.

The spelling of 556136640 in words is "five hundred fifty-six million, one hundred thirty-six thousand, six hundred forty".