867843348768 has 72 divisors (see below), whose sum is σ = 2692286762256. Its totient is φ = 262982832000.

The previous prime is 867843348727. The next prime is 867843348817.

867843348768 is a `hidden beast` number, since 8 + 6 + 7 + 84 + 3 + 3 + 487 + 68 = 666.

867843348768 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 867843348696 and 867843348705.

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 11 ways as a sum of consecutive naturals, for example, 136967058 + ... + 136973393.

It is an arithmetic number, because the mean of its divisors is an integer number (37392871698).

Almost surely, 2^867843348768 is an apocalyptic number.

867843348768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

867843348768 is an abundant number, since it is smaller than the sum of its proper divisors (1824443413488).

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

867843348768 is a wasteful number, since it uses less digits than its factorization.

867843348768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273940478 (or 273940467 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 72.

The spelling of 867843348768 in words is "eight hundred sixty-seven billion, eight hundred forty-three million, three hundred forty-eight thousand, seven hundred sixty-eight".