6431666208768 has 432 divisors, whose sum is σ = 19364545352880. Its totient is φ = 2136149065728.

The previous prime is 6431666208731. The next prime is 6431666208791. The reversal of 6431666208768 is 8678026661346.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×6431666208768³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 23219011446 + ... + 23219011722.

It is an arithmetic number, because the mean of its divisors is an integer number (44825336465).

Almost surely, 2^{6431666208768} 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 6431666208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9682272676440).

6431666208768 is an abundant number, since it is smaller than the sum of its proper divisors (12932879144112).

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

6431666208768 is an frugal number, since it uses more digits than its factorization.

6431666208768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 6431666208768 in words is "six trillion, four hundred thirty-one billion, six hundred sixty-six million, two hundred eight thousand, seven hundred sixty-eight".