3007872008064 has 2304 divisors, whose sum is σ = 12221943552000. Its totient is φ = 688368844800.

The previous prime is 3007872008039. The next prime is 3007872008077. The reversal of 3007872008064 is 4608002787003.

It is a happy number.

3007872008064 is a `hidden beast` number, since 300 + 7 + 8 + 7 + 200 + 80 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 38074329177 + ... + 38074329255.

It is an arithmetic number, because the mean of its divisors is an integer number (5304663000).

Almost surely, 2^{3007872008064} 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 3007872008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6110971776000).

3007872008064 is an abundant number, since it is smaller than the sum of its proper divisors (9214071543936).

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

3007872008064 is a wasteful number, since it uses less digits than its factorization.

3007872008064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 3007872008064 in words is "three trillion, seven billion, eight hundred seventy-two million, eight thousand, sixty-four".