66738933983766 has 128 divisors (see below), whose sum is σ = 150953602351104. Its totient is φ = 19487700000000.

The previous prime is 66738933983707. The next prime is 66738933983779.

66738933983766 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1885209666 + ... + 1885245066.

It is an arithmetic number, because the mean of its divisors is an integer number (1179325018368).

Almost surely, 2^{66738933983766} is an apocalyptic number.

66738933983766 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 66738933983766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75476801175552).

66738933983766 is an abundant number, since it is smaller than the sum of its proper divisors (84214668367338).

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

66738933983766 is a wasteful number, since it uses less digits than its factorization.

66738933983766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39370.

The product of its digits is 26665583616, while the sum is 84.

The spelling of 66738933983766 in words is "sixty-six trillion, seven hundred thirty-eight billion, nine hundred thirty-three million, nine hundred eighty-three thousand, seven hundred sixty-six".