3008506468968 has 384 divisors, whose sum is σ = 10979591051520. Its totient is φ = 718711418880.

The previous prime is 3008506468943. The next prime is 3008506468973. The reversal of 3008506468968 is 8698646058003.

3008506468968 is a `hidden beast` number, since 3 + 0 + 0 + 8 + 506 + 4 + 68 + 9 + 68 = 666.

It is a super-2 number, since 2×3008506468968² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19888596 + ... + 20039292.

It is an arithmetic number, because the mean of its divisors is an integer number (28592685030).

Almost surely, 2^{3008506468968} 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 3008506468968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489795525760).

3008506468968 is an abundant number, since it is smaller than the sum of its proper divisors (7971084582552).

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

3008506468968 is a wasteful number, since it uses less digits than its factorization.

3008506468968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151017 (or 151010 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 3008506468968 in words is "three trillion, eight billion, five hundred six million, four hundred sixty-eight thousand, nine hundred sixty-eight".