867382283768 has 128 divisors (see below), whose sum is σ = 2184746135040. Its totient is φ = 311784768000.

The previous prime is 867382283699. The next prime is 867382283771.

867382283768 is nontrivially palindromic in base 10.

867382283768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 867382283698 and 867382283707.

It is a congruent number.

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, 16077158 + ... + 16131018.

It is an arithmetic number, because the mean of its divisors is an integer number (17068329180).

Almost surely, 2^867382283768 is an apocalyptic number.

867382283768 is a gapful number since it is divisible by the number (88) 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 867382283768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092373067520).

867382283768 is an abundant number, since it is smaller than the sum of its proper divisors (1317363851272).

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

867382283768 is a wasteful number, since it uses less digits than its factorization.

867382283768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55909 (or 55905 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 68.

The spelling of 867382283768 in words is "eight hundred sixty-seven billion, three hundred eighty-two million, two hundred eighty-three thousand, seven hundred sixty-eight".