556335636240384 has 2304 divisors, whose sum is σ = 2253997360742400. Its totient is φ = 127518238310400.

The previous prime is 556335636240347. The next prime is 556335636240457. The reversal of 556335636240384 is 483042636533655.

It is a happy number.

556335636240384 is a `hidden beast` number, since 5 + 5 + 6 + 3 + 3 + 5 + 6 + 3 + 6 + 240 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

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, 47472955677 + ... + 47472967395.

It is an arithmetic number, because the mean of its divisors is an integer number (978297465600).

Almost surely, 2^{556335636240384} 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 556335636240384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126998680371200).

556335636240384 is an abundant number, since it is smaller than the sum of its proper divisors (1697661724502016).

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

556335636240384 is a wasteful number, since it uses less digits than its factorization.

556335636240384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11892 (or 11869 counting only the distinct ones).

The product of its (nonzero) digits is 559872000, while the sum is 63.

The spelling of 556335636240384 in words is "five hundred fifty-six trillion, three hundred thirty-five billion, six hundred thirty-six million, two hundred forty thousand, three hundred eighty-four".