556656546240 has 1344 divisors, whose sum is σ = 2276636544000. Its totient is φ = 128564527104.

The previous prime is 556656546239. The next prime is 556656546263. The reversal of 556656546240 is 42645656655.

It is a happy number.

556656546240 is a `hidden beast` number, since 5 + 5 + 6 + 6 + 5 + 6 + 5 + 4 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 929309461 + ... + 929310059.

It is an arithmetic number, because the mean of its divisors is an integer number (1693926000).

Almost surely, 2^556656546240 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 556656546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138318272000).

556656546240 is an abundant number, since it is smaller than the sum of its proper divisors (1719979997760).

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

556656546240 is a wasteful number, since it uses less digits than its factorization.

556656546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 556656546240 in words is "five hundred fifty-six billion, six hundred fifty-six million, five hundred forty-six thousand, two hundred forty".