66468625 has 32 divisors (see below), whose sum is σ = 86261760. Its totient is φ = 51105600.

The previous prime is 66468599. The next prime is 66468637. The reversal of 66468625 is 52686466.

It is not a de Polignac number, because 66468625 - 2¹⁵ = 66435857 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523312 + ... + 523438.

It is an arithmetic number, because the mean of its divisors is an integer number (2695680).

Almost surely, 2^66468625 is an apocalyptic number.

It is an amenable number.

66468625 is a deficient number, since it is larger than the sum of its proper divisors (19793135).

66468625 is a wasteful number, since it uses less digits than its factorization.

66468625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The square root of 66468625 is about 8152.8292635134. The cubic root of 66468625 is about 405.0782249957.

The spelling of 66468625 in words is "sixty-six million, four hundred sixty-eight thousand, six hundred twenty-five".