66304672 has 96 divisors (see below), whose sum is σ = 157852800. Its totient is φ = 26815488.

The previous prime is 66304669. The next prime is 66304673. The reversal of 66304672 is 27640366.

It is not an unprimeable number, because it can be changed into a prime (66304673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383178 + ... + 383350.

It is an arithmetic number, because the mean of its divisors is an integer number (1644300).

Almost surely, 2^66304672 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 66304672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78926400).

66304672 is an abundant number, since it is smaller than the sum of its proper divisors (91548128).

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

66304672 is a wasteful number, since it uses less digits than its factorization.

66304672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 66304672 is about 8142.7680797134. The cubic root of 66304672 is about 404.7448924342.

The spelling of 66304672 in words is "sixty-six million, three hundred four thousand, six hundred seventy-two".