66075042400 has 288 divisors, whose sum is σ = 177530512320. Its totient is φ = 23912448000.

The previous prime is 66075042361. The next prime is 66075042403. The reversal of 66075042400 is 424057066.

It is a super-3 number, since 3×66075042400³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66075042403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39588766 + ... + 39590434.

It is an arithmetic number, because the mean of its divisors is an integer number (616425390).

Almost surely, 2^66075042400 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 66075042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88765256160).

66075042400 is an abundant number, since it is smaller than the sum of its proper divisors (111455469920).

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

66075042400 is a wasteful number, since it uses less digits than its factorization.

66075042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

Adding to 66075042400 its reverse (424057066), we get a palindrome (66499099466).

The spelling of 66075042400 in words is "sixty-six billion, seventy-five million, forty-two thousand, four hundred".