66496656 has 80 divisors (see below), whose sum is σ = 191505600. Its totient is φ = 19759104.

The previous prime is 66496631. The next prime is 66496667. The reversal of 66496656 is 65669466.

It is a happy number.

66496656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13360 + ... + 17648.

It is an arithmetic number, because the mean of its divisors is an integer number (2393820).

Almost surely, 2^66496656 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 66496656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95752800).

66496656 is an abundant number, since it is smaller than the sum of its proper divisors (125008944).

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

66496656 is a wasteful number, since it uses less digits than its factorization.

66496656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336 (or 4330 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 48.

The square root of 66496656 is about 8154.5481787773. The cubic root of 66496656 is about 405.1351598876.

The spelling of 66496656 in words is "sixty-six million, four hundred ninety-six thousand, six hundred fifty-six".