556756394544 has 240 divisors, whose sum is σ = 1803634560000. Its totient is φ = 157030907904.

The previous prime is 556756394543. The next prime is 556756394581. The reversal of 556756394544 is 445493657655.

556756394544 is a `hidden beast` number, since 5 + 5 + 6 + 7 + 56 + 39 + 4 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (556756394543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167242672 + ... + 167246000.

It is an arithmetic number, because the mean of its divisors is an integer number (7515144000).

Almost surely, 2^556756394544 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 556756394544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901817280000).

556756394544 is an abundant number, since it is smaller than the sum of its proper divisors (1246878165456).

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

556756394544 is a wasteful number, since it uses less digits than its factorization.

556756394544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5432 (or 5423 counting only the distinct ones).

The product of its digits is 272160000, while the sum is 63.

The spelling of 556756394544 in words is "five hundred fifty-six billion, seven hundred fifty-six million, three hundred ninety-four thousand, five hundred forty-four".