67666266266676 has 1152 divisors, whose sum is σ = 223565256327168. Its totient is φ = 15695197056000.

The previous prime is 67666266266663. The next prime is 67666266266713.

67666266266676 is nontrivially palindromic in base 10.

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 383 ways as a sum of consecutive naturals, for example, 15389187310 + ... + 15389191706.

It is an arithmetic number, because the mean of its divisors is an integer number (194067062784).

Almost surely, 2^{67666266266676} is an apocalyptic number.

67666266266676 is a gapful number since it is divisible by the number (66) 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 67666266266676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111782628163584).

67666266266676 is an abundant number, since it is smaller than the sum of its proper divisors (155898990060492).

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

67666266266676 is a wasteful number, since it uses less digits than its factorization.

67666266266676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601 (or 4592 counting only the distinct ones).

The product of its digits is 11851370496, while the sum is 78.

The spelling of 67666266266676 in words is "sixty-seven trillion, six hundred sixty-six billion, two hundred sixty-six million, two hundred sixty-six thousand, six hundred seventy-six".