3066075363456 has 192 divisors, whose sum is σ = 10119782287680. Its totient is φ = 872858363904.

The previous prime is 3066075363433. The next prime is 3066075363467. The reversal of 3066075363456 is 6543635706603.

3066075363456 is a `hidden beast` number, since 3 + 0 + 6 + 60 + 7 + 536 + 3 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1547415 + ... + 2920041.

It is an arithmetic number, because the mean of its divisors is an integer number (52707199415).

Almost surely, 2^{3066075363456} is an apocalyptic number.

3066075363456 is a gapful number since it is divisible by the number (36) 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 3066075363456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059891143840).

3066075363456 is an abundant number, since it is smaller than the sum of its proper divisors (7053706924224).

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

3066075363456 is a wasteful number, since it uses less digits than its factorization.

3066075363456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372931 (or 1372916 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 54.

The spelling of 3066075363456 in words is "three trillion, sixty-six billion, seventy-five million, three hundred sixty-three thousand, four hundred fifty-six".