3009197472768 has 264 divisors, whose sum is σ = 9080289723648. Its totient is φ = 958887272448.

The previous prime is 3009197472761. The next prime is 3009197472773. The reversal of 3009197472768 is 8672747919003.

3009197472768 is a `hidden beast` number, since 3 + 0 + 0 + 9 + 1 + 97 + 472 + 76 + 8 = 666.

It is a super-2 number, since 2×3009197472768² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3009197472761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18544755 + ... + 18706317.

It is an arithmetic number, because the mean of its divisors is an integer number (34395036832).

Almost surely, 2^{3009197472768} 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 3009197472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540144861824).

3009197472768 is an abundant number, since it is smaller than the sum of its proper divisors (6071092250880).

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

3009197472768 is a wasteful number, since it uses less digits than its factorization.

3009197472768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161679 (or 161658 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 3009197472768 in words is "three trillion, nine billion, one hundred ninety-seven million, four hundred seventy-two thousand, seven hundred sixty-eight".