66448760 has 64 divisors (see below), whose sum is σ = 174873600. Its totient is φ = 22248576.

The previous prime is 66448751. The next prime is 66448769. The reversal of 66448760 is 6784466.

66448760 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (66448751) and next prime (66448769).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66448769) 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, 9281 + ... + 14799.

It is an arithmetic number, because the mean of its divisors is an integer number (2732400).

Almost surely, 2^66448760 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 66448760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87436800).

66448760 is an abundant number, since it is smaller than the sum of its proper divisors (108424840).

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

66448760 is a wasteful number, since it uses less digits than its factorization.

66448760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5580 (or 5576 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 66448760 is about 8151.6108837456. The cubic root of 66448760 is about 405.0378667028.

The spelling of 66448760 in words is "sixty-six million, four hundred forty-eight thousand, seven hundred sixty".