66376744767366 has 128 divisors (see below), whose sum is σ = 148528816128000. Its totient is φ = 19600498310400.

The previous prime is 66376744767323. The next prime is 66376744767419.

66376744767366 is nontrivially palindromic in base 10.

66376744767366 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66376744767366² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66376744767291 and 66376744767300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12846280515 + ... + 12846285681.

It is an arithmetic number, because the mean of its divisors is an integer number (1160381376000).

Almost surely, 2^{66376744767366} is an apocalyptic number.

66376744767366 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 66376744767366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74264408064000).

66376744767366 is an abundant number, since it is smaller than the sum of its proper divisors (82152071360634).

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

66376744767366 is a wasteful number, since it uses less digits than its factorization.

66376744767366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9890.

The product of its digits is 16131032064, while the sum is 78.

The spelling of 66376744767366 in words is "sixty-six trillion, three hundred seventy-six billion, seven hundred forty-four million, seven hundred sixty-seven thousand, three hundred sixty-six".