66442824440800 has 72 divisors (see below), whose sum is σ = 162417818172456. Its totient is φ = 26542021040640.

The previous prime is 66442824440771. The next prime is 66442824440807. The reversal of 66442824440800 is 804442824466.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66442824440807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54251422 + ... + 55462621.

It is an arithmetic number, because the mean of its divisors is an integer number (2255803030173).

Almost surely, 2^{66442824440800} is an apocalyptic number.

It is an amenable number.

66442824440800 is an abundant number, since it is smaller than the sum of its proper divisors (95974993731656).

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

66442824440800 is a wasteful number, since it uses less digits than its factorization.

66442824440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109714820 (or 109714807 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 52.

The spelling of 66442824440800 in words is "sixty-six trillion, four hundred forty-two billion, eight hundred twenty-four million, four hundred forty thousand, eight hundred".