66142267200 has 504 divisors, whose sum is σ = 258158601792. Its totient is φ = 16598753280.

The previous prime is 66142267159. The next prime is 66142267201. The reversal of 66142267200 is 276224166.

66142267200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66142267201) 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, 6604597 + ... + 6614603.

It is an arithmetic number, because the mean of its divisors is an integer number (512219448).

Almost surely, 2^66142267200 is an apocalyptic number.

66142267200 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 66142267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129079300896).

66142267200 is an abundant number, since it is smaller than the sum of its proper divisors (192016334592).

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

66142267200 is a wasteful number, since it uses less digits than its factorization.

66142267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10061 (or 10034 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 66142267200 in words is "sixty-six billion, one hundred forty-two million, two hundred sixty-seven thousand, two hundred".