556024349664 has 1536 divisors, whose sum is σ = 2132921548800. Its totient is φ = 139072204800.

The previous prime is 556024349663. The next prime is 556024349669. The reversal of 556024349664 is 466943420655.

556024349664 is a `hidden beast` number, since 5 + 5 + 60 + 2 + 434 + 96 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 556024349664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556024349663) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11830305289 + ... + 11830305335.

It is an arithmetic number, because the mean of its divisors is an integer number (1388620800).

Almost surely, 2^556024349664 is an apocalyptic number.

556024349664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556024349664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066460774400).

556024349664 is an abundant number, since it is smaller than the sum of its proper divisors (1576897199136).

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

556024349664 is a wasteful number, since it uses less digits than its factorization.

556024349664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 556024349664 in words is "five hundred fifty-six billion, twenty-four million, three hundred forty-nine thousand, six hundred sixty-four".