66361100400 has 360 divisors, whose sum is σ = 265660746624. Its totient is φ = 15025881600.

The previous prime is 66361100387. The next prime is 66361100401. The reversal of 66361100400 is 400116366.

66361100400 is a `hidden beast` number, since 6 + 6 + 3 + 611 + 0 + 0 + 40 + 0 = 666.

66361100400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66361100401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2684095 + ... + 2708705.

Almost surely, 2^66361100400 is an apocalyptic number.

66361100400 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 66361100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132830373312).

66361100400 is an abundant number, since it is smaller than the sum of its proper divisors (199299646224).

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

66361100400 is a wasteful number, since it uses less digits than its factorization.

66361100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24749 (or 24735 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 66361100400 its reverse (400116366), we get a palindrome (66761216766).

The spelling of 66361100400 in words is "sixty-six billion, three hundred sixty-one million, one hundred thousand, four hundred".