66004992 has 72 divisors (see below), whose sum is σ = 190687770. Its totient is φ = 21995520.

The previous prime is 66004987. The next prime is 66005021. The reversal of 66004992 is 29940066.

66004992 is a `hidden beast` number, since 6 + 600 + 49 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43877376 + 22127616 = 6624^2 + 4704^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 5 ways as a sum of consecutive naturals, for example, 16642 + ... + 20222.

Almost surely, 2^66004992 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 66004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95343885).

66004992 is an abundant number, since it is smaller than the sum of its proper divisors (124682778).

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

66004992 is a wasteful number, since it uses less digits than its factorization.

66004992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 66004992 is about 8124.3456351881. The cubic root of 66004992 is about 404.1341906287.

The spelling of 66004992 in words is "sixty-six million, four thousand, nine hundred ninety-two".