66762966144 has 128 divisors (see below), whose sum is σ = 202818170880. Its totient is φ = 19061498880.

The previous prime is 66762966091. The next prime is 66762966161. The reversal of 66762966144 is 44166926766.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4107217 + ... + 4123439.

It is an arithmetic number, because the mean of its divisors is an integer number (1584516960).

Almost surely, 2^66762966144 is an apocalyptic number.

66762966144 is a gapful number since it is divisible by the number (64) 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 66762966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101409085440).

66762966144 is an abundant number, since it is smaller than the sum of its proper divisors (136055204736).

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

66762966144 is a wasteful number, since it uses less digits than its factorization.

66762966144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17778 (or 17766 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 57.

The spelling of 66762966144 in words is "sixty-six billion, seven hundred sixty-two million, nine hundred sixty-six thousand, one hundred forty-four".