66448000 has 64 divisors (see below), whose sum is σ = 165246120. Its totient is φ = 26572800.

The previous prime is 66447937. The next prime is 66448009. The reversal of 66448000 is 84466.

It can be written as a sum of positive squares in 4 ways, for example, as 3594816 + 62853184 = 1896^2 + 7928^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 66448000.

It is not an unprimeable number, because it can be changed into a prime (66448009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13924 + ... + 18076.

Almost surely, 2^66448000 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 66448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82623060).

66448000 is an abundant number, since it is smaller than the sum of its proper divisors (98798120).

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

66448000 is an equidigital number, since it uses as much as digits as its factorization.

66448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 66448000 is about 8151.5642670594. The cubic root of 66448000 is about 405.0363225057.

The spelling of 66448000 in words is "sixty-six million, four hundred forty-eight thousand".