66689137152 has 480 divisors, whose sum is σ = 216822640320. Its totient is φ = 19561512960.

The previous prime is 66689137133. The next prime is 66689137201. The reversal of 66689137152 is 25173198666.

It is a super-2 number, since 2×66689137152² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247914874 + ... + 247915142.

It is an arithmetic number, because the mean of its divisors is an integer number (451713834).

Almost surely, 2^66689137152 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 66689137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108411320160).

66689137152 is an abundant number, since it is smaller than the sum of its proper divisors (150133503168).

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

66689137152 is a wasteful number, since it uses less digits than its factorization.

66689137152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 425 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

It can be divided in two parts, 66689 and 137152, that added together give a triangular number (203841 = T₆₃₈).

The spelling of 66689137152 in words is "sixty-six billion, six hundred eighty-nine million, one hundred thirty-seven thousand, one hundred fifty-two".