867873378768 has 80 divisors (see below), whose sum is σ = 2511928410816. Its totient is φ = 255884037120.

The previous prime is 867873378763. The next prime is 867873378793.

867873378768 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 867873378693 and 867873378702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867873378761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22192621 + ... + 22231692.

Almost surely, 2^867873378768 is an apocalyptic number.

867873378768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

867873378768 is an abundant number, since it is smaller than the sum of its proper divisors (1644055032048).

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

867873378768 is a wasteful number, since it uses less digits than its factorization.

867873378768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44424372 (or 44424366 counting only the distinct ones).

The product of its digits is 3186376704, while the sum is 78.

The spelling of 867873378768 in words is "eight hundred sixty-seven billion, eight hundred seventy-three million, three hundred seventy-eight thousand, seven hundred sixty-eight".