63066564 has 72 divisors (see below), whose sum is σ = 176580768. Its totient is φ = 18817920.

The previous prime is 63066559. The next prime is 63066571. The reversal of 63066564 is 46566036.

63066564 is a `hidden beast` number, since 6 + 30 + 66 + 564 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25344 + ... + 27720.

Almost surely, 2^63066564 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 63066564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88290384).

63066564 is an abundant number, since it is smaller than the sum of its proper divisors (113514204).

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

63066564 is a wasteful number, since it uses less digits than its factorization.

63066564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2460 counting only the distinct ones).

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

The square root of 63066564 is about 7941.4459640547. The cubic root of 63066564 is about 398.0458100684.

The spelling of 63066564 in words is "sixty-three million, sixty-six thousand, five hundred sixty-four".