3066006564 has 36 divisors (see below), whose sum is σ = 7865863824. Its totient is φ = 1006747632.

The previous prime is 3066006523. The next prime is 3066006577. The reversal of 3066006564 is 4656006603.

3066006564 is a `hidden beast` number, since 30 + 6 + 60 + 0 + 6 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 633162 + ... + 637985.

Almost surely, 2^3066006564 is an apocalyptic number.

It is an amenable number.

3066006564 is an abundant number, since it is smaller than the sum of its proper divisors (4799857260).

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

3066006564 is a wasteful number, since it uses less digits than its factorization.

3066006564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271224 (or 1271219 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3066006564 is about 55371.5320719953. The cubic root of 3066006564 is about 1452.7504771937.

The spelling of 3066006564 in words is "three billion, sixty-six million, six thousand, five hundred sixty-four".