3006212525568 has 720 divisors, whose sum is σ = 11086105979520. Its totient is φ = 778307346432.

The previous prime is 3006212525513. The next prime is 3006212525581. The reversal of 3006212525568 is 8655252126003.

3006212525568 is a `hidden beast` number, since 3 + 0 + 0 + 62 + 1 + 2 + 5 + 25 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98655871 + ... + 98686337.

It is an arithmetic number, because the mean of its divisors is an integer number (15397369416).

Almost surely, 2^{3006212525568} is an apocalyptic number.

3006212525568 is a gapful number since it is divisible by the number (38) 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 3006212525568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5543052989760).

3006212525568 is an abundant number, since it is smaller than the sum of its proper divisors (8079893453952).

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

3006212525568 is a wasteful number, since it uses less digits than its factorization.

3006212525568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30547 (or 30521 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 3006212525568 in words is "three trillion, six billion, two hundred twelve million, five hundred twenty-five thousand, five hundred sixty-eight".