67667888876676 has 96 divisors (see below), whose sum is σ = 175104582589440. Its totient is φ = 20165193859200.

The previous prime is 67667888876611. The next prime is 67667888876701.

67667888876676 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×67667888876676³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39148315 + ... + 40840253.

It is an arithmetic number, because the mean of its divisors is an integer number (1824006068640).

Almost surely, 2^{67667888876676} is an apocalyptic number.

67667888876676 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 67667888876676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87552291294720).

67667888876676 is an abundant number, since it is smaller than the sum of its proper divisors (107436693712764).

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

67667888876676 is a wasteful number, since it uses less digits than its factorization.

67667888876676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696985 (or 1696983 counting only the distinct ones).

The product of its digits is 458838245376, while the sum is 96.

The spelling of 67667888876676 in words is "sixty-seven trillion, six hundred sixty-seven billion, eight hundred eighty-eight million, eight hundred seventy-six thousand, six hundred seventy-six".