867904031943936 has 432 divisors, whose sum is σ = 2784150608279040. Its totient is φ = 258214915031040.

The previous prime is 867904031943929. The next prime is 867904031943937. The reversal of 867904031943936 is 639349130409768.

867904031943936 is a `hidden beast` number, since 8 + 6 + 7 + 9 + 0 + 40 + 3 + 194 + 393 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867904031943937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1101750010 + ... + 1102537478.

It is an arithmetic number, because the mean of its divisors is an integer number (6444793074720).

Almost surely, 2^{867904031943936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867904031943936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392075304139520).

867904031943936 is an abundant number, since it is smaller than the sum of its proper divisors (1916246576335104).

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

867904031943936 is a wasteful number, since it uses less digits than its factorization.

867904031943936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788722 (or 788705 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 867904031943936 in words is "eight hundred sixty-seven trillion, nine hundred four billion, thirty-one million, nine hundred forty-three thousand, nine hundred thirty-six".