66360402000 has 240 divisors, whose sum is σ = 232055595408. Its totient is φ = 17674675200.

The previous prime is 66360401981. The next prime is 66360402001. The reversal of 66360402000 is 20406366.

66360402000 is a `hidden beast` number, since 6 + 636 + 0 + 4 + 0 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 303177744 + 66057224256 = 17412^2 + 257016^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66360402001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19672314 + ... + 19675686.

Almost surely, 2^66360402000 is an apocalyptic number.

66360402000 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 66360402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116027797704).

66360402000 is an abundant number, since it is smaller than the sum of its proper divisors (165695193408).

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

66360402000 is a wasteful number, since it uses less digits than its factorization.

66360402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4495 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 66360402000 its reverse (20406366), we get a palindrome (66380808366).

The spelling of 66360402000 in words is "sixty-six billion, three hundred sixty million, four hundred two thousand".