67766866776 has 192 divisors, whose sum is σ = 219127334400. Its totient is φ = 18498737664.

The previous prime is 67766866711. The next prime is 67766866793.

67766866776 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×67766866776² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11809380 + ... + 11815116.

It is an arithmetic number, because the mean of its divisors is an integer number (1141288200).

Almost surely, 2^67766866776 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 67766866776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109563667200).

67766866776 is an abundant number, since it is smaller than the sum of its proper divisors (151360467624).

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

67766866776 is a wasteful number, since it uses less digits than its factorization.

67766866776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6798 (or 6791 counting only the distinct ones).

The product of its digits is 896168448, while the sum is 72.

The spelling of 67766866776 in words is "sixty-seven billion, seven hundred sixty-six million, eight hundred sixty-six thousand, seven hundred seventy-six".