66909672 has 64 divisors (see below), whose sum is σ = 187761600. Its totient is φ = 22075200.

The previous prime is 66909649. The next prime is 66909679. The reversal of 66909672 is 27690966.

It is not an unprimeable number, because it can be changed into a prime (66909679) 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, 20283 + ... + 23349.

It is an arithmetic number, because the mean of its divisors is an integer number (2933775).

Almost surely, 2^66909672 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 66909672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93880800).

66909672 is an abundant number, since it is smaller than the sum of its proper divisors (120851928).

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

66909672 is a wasteful number, since it uses less digits than its factorization.

66909672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 66909672 is about 8179.8332501341. The cubic root of 66909672 is about 405.9722048158.

The spelling of 66909672 in words is "sixty-six million, nine hundred nine thousand, six hundred seventy-two".