3060664012800 has 624 divisors, whose sum is σ = 11456427991680. Its totient is φ = 800739164160.

The previous prime is 3060664012793. The next prime is 3060664012801. The reversal of 3060664012800 is 82104660603.

3060664012800 is a `hidden beast` number, since 3 + 0 + 6 + 0 + 6 + 640 + 1 + 2 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3060664012801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146523957 + ... + 146544843.

Almost surely, 2^{3060664012800} is an apocalyptic number.

3060664012800 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 3060664012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728213995840).

3060664012800 is an abundant number, since it is smaller than the sum of its proper divisors (8395763978880).

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

3060664012800 is a wasteful number, since it uses less digits than its factorization.

3060664012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20983 (or 20950 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3060664012800 in words is "three trillion, sixty billion, six hundred sixty-four million, twelve thousand, eight hundred".