3668326759680 has 1728 divisors, whose sum is σ = 14340841095168. Its totient is φ = 794787840000.

The previous prime is 3668326759639. The next prime is 3668326759693. The reversal of 3668326759680 is 869576238663.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17385434775 + ... + 17385434985.

It is an arithmetic number, because the mean of its divisors is an integer number (8299097856).

Almost surely, 2^{3668326759680} is an apocalyptic number.

3668326759680 is a gapful number since it is divisible by the number (30) 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 3668326759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7170420547584).

3668326759680 is an abundant number, since it is smaller than the sum of its proper divisors (10672514335488).

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

3668326759680 is a wasteful number, since it uses less digits than its factorization.

3668326759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 69.

The spelling of 3668326759680 in words is "three trillion, six hundred sixty-eight billion, three hundred twenty-six million, seven hundred fifty-nine thousand, six hundred eighty".