66454800 has 120 divisors (see below), whose sum is σ = 215879040. Its totient is φ = 17472000.

The previous prime is 66454789. The next prime is 66454807. The reversal of 66454800 is 845466.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (66454807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94450 + ... + 95150.

It is an arithmetic number, because the mean of its divisors is an integer number (1798992).

Almost surely, 2^66454800 is an apocalyptic number.

66454800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66454800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107939520).

66454800 is an abundant number, since it is smaller than the sum of its proper divisors (149424240).

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

66454800 is a wasteful number, since it uses less digits than its factorization.

66454800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 66454800 is about 8151.9813542476. The cubic root of 66454800 is about 405.0501385876.

The spelling of 66454800 in words is "sixty-six million, four hundred fifty-four thousand, eight hundred".