3066137657344 has 240 divisors, whose sum is σ = 6968204006400. Its totient is φ = 1341238542336.

The previous prime is 3066137657311. The next prime is 3066137657369. The reversal of 3066137657344 is 4437567316603.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207627049 + ... + 207641815.

It is an arithmetic number, because the mean of its divisors is an integer number (29034183360).

Almost surely, 2^{3066137657344} 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 3066137657344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484102003200).

3066137657344 is an abundant number, since it is smaller than the sum of its proper divisors (3902066349056).

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

3066137657344 is a wasteful number, since it uses less digits than its factorization.

3066137657344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14866 (or 14840 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 55.

The spelling of 3066137657344 in words is "three trillion, sixty-six billion, one hundred thirty-seven million, six hundred fifty-seven thousand, three hundred forty-four".