66711323263200 has 864 divisors, whose sum is σ = 281969716533120. Its totient is φ = 13539707596800.

The previous prime is 66711323263181. The next prime is 66711323263201. The reversal of 66711323263200 is 236232311766.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66711323263201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55025146 + ... + 56224454.

It is an arithmetic number, because the mean of its divisors is an integer number (326353838580).

Almost surely, 2^{66711323263200} is an apocalyptic number.

66711323263200 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 66711323263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140984858266560).

66711323263200 is an abundant number, since it is smaller than the sum of its proper divisors (215258393269920).

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

66711323263200 is a wasteful number, since it uses less digits than its factorization.

66711323263200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199400 (or 1199380 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

Adding to 66711323263200 its reverse (236232311766), we get a palindrome (66947555574966).

The spelling of 66711323263200 in words is "sixty-six trillion, seven hundred eleven billion, three hundred twenty-three million, two hundred sixty-three thousand, two hundred".