6634438566336 has 168 divisors, whose sum is σ = 21754104161504. Its totient is φ = 1893717688320.

The previous prime is 6634438566323. The next prime is 6634438566337. The reversal of 6634438566336 is 6336658344366.

6634438566336 is a `hidden beast` number, since 6 + 6 + 3 + 4 + 4 + 38 + 566 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6634438566337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3368616 + ... + 4961496.

Almost surely, 2^{6634438566336} 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 6634438566336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10877052080752).

6634438566336 is an abundant number, since it is smaller than the sum of its proper divisors (15119665595168).

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

6634438566336 is a wasteful number, since it uses less digits than its factorization.

6634438566336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593939 (or 1593926 counting only the distinct ones).

The product of its digits is 403107840, while the sum is 63.

The spelling of 6634438566336 in words is "six trillion, six hundred thirty-four billion, four hundred thirty-eight million, five hundred sixty-six thousand, three hundred thirty-six".