3006995218560 has 1536 divisors, whose sum is σ = 12395167948800. Its totient is φ = 691553894400.

The previous prime is 3006995218499. The next prime is 3006995218583. The reversal of 3006995218560 is 658125996003.

It is a happy number.

3006995218560 is a `hidden beast` number, since 3 + 0 + 0 + 69 + 9 + 5 + 2 + 18 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3006995218497 and 3006995218506.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1557220795 + ... + 1557222725.

It is an arithmetic number, because the mean of its divisors is an integer number (8069770800).

Almost surely, 2^{3006995218560} is an apocalyptic number.

3006995218560 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 3006995218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6197583974400).

3006995218560 is an abundant number, since it is smaller than the sum of its proper divisors (9388172730240).

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

3006995218560 is a wasteful number, since it uses less digits than its factorization.

3006995218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 3006995218560 in words is "three trillion, six billion, nine hundred ninety-five million, two hundred eighteen thousand, five hundred sixty".