66882824646 has 64 divisors (see below), whose sum is σ = 149661098496. Its totient is φ = 19749945600.

The previous prime is 66882824639. The next prime is 66882824653. The reversal of 66882824646 is 64642828866.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66882824639) and next prime (66882824653).

It is a self number, because there is not a number n which added to its sum of digits gives 66882824646.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2359071 + ... + 2387253.

It is an arithmetic number, because the mean of its divisors is an integer number (2338454664).

Almost surely, 2^66882824646 is an apocalyptic number.

66882824646 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66882824646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74830549248).

66882824646 is an abundant number, since it is smaller than the sum of its proper divisors (82778273850).

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

66882824646 is a wasteful number, since it uses less digits than its factorization.

66882824646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29117.

The product of its digits is 42467328, while the sum is 60.

The spelling of 66882824646 in words is "sixty-six billion, eight hundred eighty-two million, eight hundred twenty-four thousand, six hundred forty-six".