868736434176 has 576 divisors, whose sum is σ = 2896071978240. Its totient is φ = 255370199040.

The previous prime is 868736434157. The next prime is 868736434177. The reversal of 868736434176 is 671434637868.

868736434176 is a `hidden beast` number, since 8 + 68 + 73 + 6 + 434 + 1 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868736434177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1058143846 + ... + 1058144666.

It is an arithmetic number, because the mean of its divisors is an integer number (5027902740).

Almost surely, 2^868736434176 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 868736434176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448035989120).

868736434176 is an abundant number, since it is smaller than the sum of its proper divisors (2027335544064).

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

868736434176 is an equidigital number, since it uses as much as digits as its factorization.

868736434176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 862 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 868736434176 in words is "eight hundred sixty-eight billion, seven hundred thirty-six million, four hundred thirty-four thousand, one hundred seventy-six".