6663350513664 has 312 divisors, whose sum is σ = 20836702478592. Its totient is φ = 2039499325440.

The previous prime is 6663350513627. The next prime is 6663350513689. The reversal of 6663350513664 is 4663150533666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a self number, because there is not a number n which added to its sum of digits gives 6663350513664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91496914 + ... + 91569710.

It is an arithmetic number, because the mean of its divisors is an integer number (66784302816).

Almost surely, 2^{6663350513664} is an apocalyptic number.

6663350513664 is a gapful number since it is divisible by the number (64) 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 6663350513664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10418351239296).

6663350513664 is an abundant number, since it is smaller than the sum of its proper divisors (14173351964928).

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

6663350513664 is a wasteful number, since it uses less digits than its factorization.

6663350513664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73031 (or 73006 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 54.

The spelling of 6663350513664 in words is "six trillion, six hundred sixty-three billion, three hundred fifty million, five hundred thirteen thousand, six hundred sixty-four".