66883164768 has 144 divisors (see below), whose sum is σ = 217728909216. Its totient is φ = 19077949440.

The previous prime is 66883164749. The next prime is 66883164833. The reversal of 66883164768 is 86746138866.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1208748 + ... + 1262868.

It is an arithmetic number, because the mean of its divisors is an integer number (1512006314).

Almost surely, 2^66883164768 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 66883164768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864454608).

66883164768 is an abundant number, since it is smaller than the sum of its proper divisors (150845744448).

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

66883164768 is a wasteful number, since it uses less digits than its factorization.

66883164768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54757 (or 54746 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 66883164768 in words is "sixty-six billion, eight hundred eighty-three million, one hundred sixty-four thousand, seven hundred sixty-eight".