4368188558664 has 512 divisors, whose sum is σ = 14476492800000. Its totient is φ = 1194211952640.

The previous prime is 4368188558579. The next prime is 4368188558687. The reversal of 4368188558664 is 4668558818634.

4368188558664 is a `hidden beast` number, since 4 + 3 + 6 + 8 + 1 + 8 + 8 + 558 + 6 + 64 = 666.

4368188558664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4368188558592 and 4368188558601.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1669157484 + ... + 1669160100.

It is an arithmetic number, because the mean of its divisors is an integer number (28274400000).

Almost surely, 2^{4368188558664} 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 4368188558664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238246400000).

4368188558664 is an abundant number, since it is smaller than the sum of its proper divisors (10108304241336).

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

4368188558664 is a wasteful number, since it uses less digits than its factorization.

4368188558664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3048 counting only the distinct ones).

The product of its digits is 1061683200, while the sum is 72.

The spelling of 4368188558664 in words is "four trillion, three hundred sixty-eight billion, one hundred eighty-eight million, five hundred fifty-eight thousand, six hundred sixty-four".