867823328768 has 320 divisors, whose sum is σ = 2111789408256. Its totient is φ = 351584256000.

The previous prime is 867823328747. The next prime is 867823328777.

867823328768 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a junction number, because it is equal to n+sod(n) for n = 867823328698 and 867823328707.

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, 139495898 + ... + 139502118.

Almost surely, 2^867823328768 is an apocalyptic number.

867823328768 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 867823328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055894704128).

867823328768 is an abundant number, since it is smaller than the sum of its proper divisors (1243966079488).

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

867823328768 is a wasteful number, since it uses less digits than its factorization.

867823328768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345 (or 6329 counting only the distinct ones).

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

The spelling of 867823328768 in words is "eight hundred sixty-seven billion, eight hundred twenty-three million, three hundred twenty-eight thousand, seven hundred sixty-eight".