66464928 has 96 divisors (see below), whose sum is σ = 198475200. Its totient is φ = 21627648.

The previous prime is 66464903. The next prime is 66464939. The reversal of 66464928 is 82946466.

66464928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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, 36258 + ... + 38046.

It is an arithmetic number, because the mean of its divisors is an integer number (2067450).

Almost surely, 2^66464928 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 66464928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99237600).

66464928 is an abundant number, since it is smaller than the sum of its proper divisors (132010272).

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

66464928 is a wasteful number, since it uses less digits than its factorization.

66464928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1837 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 66464928 is about 8152.6025292541. The cubic root of 66464928 is about 405.0707146755.

The spelling of 66464928 in words is "sixty-six million, four hundred sixty-four thousand, nine hundred twenty-eight".