66706136215200 has 1152 divisors, whose sum is σ = 257551365657600. Its totient is φ = 16604403793920.

The previous prime is 66706136215193. The next prime is 66706136215207. The reversal of 66706136215200 is 251263160766.

66706136215200 is a `hidden beast` number, since 6 + 6 + 7 + 0 + 6 + 13 + 621 + 5 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66706136215193) and next prime (66706136215207).

It is a super-2 number, since 2×66706136215200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (66706136215207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32334529369 + ... + 32334531431.

It is an arithmetic number, because the mean of its divisors is an integer number (223568893800).

Almost surely, 2^{66706136215200} is an apocalyptic number.

66706136215200 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 66706136215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128775682828800).

66706136215200 is an abundant number, since it is smaller than the sum of its proper divisors (190845229442400).

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

66706136215200 is a wasteful number, since it uses less digits than its factorization.

66706136215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

Adding to 66706136215200 its reverse (251263160766), we get a palindrome (66957399375966).

The spelling of 66706136215200 in words is "sixty-six trillion, seven hundred six billion, one hundred thirty-six million, two hundred fifteen thousand, two hundred".