66279129312 has 192 divisors, whose sum is σ = 194129768448. Its totient is φ = 19631040000.

The previous prime is 66279129311. The next prime is 66279129337. The reversal of 66279129312 is 21392197266.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66279129311) 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 31 ways as a sum of consecutive naturals, for example, 9264937 + ... + 9272087.

It is an arithmetic number, because the mean of its divisors is an integer number (1011092544).

Almost surely, 2^66279129312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66279129312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97064884224).

66279129312 is an abundant number, since it is smaller than the sum of its proper divisors (127850639136).

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

66279129312 is a wasteful number, since it uses less digits than its factorization.

66279129312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7373 (or 7365 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

It can be divided in two parts, 66279 and 129312, that added together give a palindrome (195591).

The spelling of 66279129312 in words is "sixty-six billion, two hundred seventy-nine million, one hundred twenty-nine thousand, three hundred twelve".