3068660990304 has 864 divisors, whose sum is σ = 11551891347360. Its totient is φ = 793979117568.

The previous prime is 3068660990201. The next prime is 3068660990309. The reversal of 3068660990304 is 4030990668603.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3068660990309) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 262519692 + ... + 262531380.

It is an arithmetic number, because the mean of its divisors is an integer number (13370244615).

Almost surely, 2^{3068660990304} 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 3068660990304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5775945673680).

3068660990304 is an abundant number, since it is smaller than the sum of its proper divisors (8483230357056).

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

3068660990304 is a wasteful number, since it uses less digits than its factorization.

3068660990304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11794 (or 11767 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 3068660990304 in words is "three trillion, sixty-eight billion, six hundred sixty million, nine hundred ninety thousand, three hundred four".