868743434160 has 720 divisors, whose sum is σ = 3594854914560. Its totient is φ = 186941260800.

The previous prime is 868743434107. The next prime is 868743434177. The reversal of 868743434160 is 61434347868.

868743434160 is a `hidden beast` number, since 8 + 6 + 8 + 7 + 43 + 434 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×868743434160² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 868743434097 and 868743434106.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 109258185 + ... + 109266135.

It is an arithmetic number, because the mean of its divisors is an integer number (4992854048).

Almost surely, 2^868743434160 is an apocalyptic number.

868743434160 is a gapful number since it is divisible by the number (80) 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 868743434160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797427457280).

868743434160 is an abundant number, since it is smaller than the sum of its proper divisors (2726111480400).

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

868743434160 is a wasteful number, since it uses less digits than its factorization.

868743434160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8166 (or 8150 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 868743434160 in words is "eight hundred sixty-eight billion, seven hundred forty-three million, four hundred thirty-four thousand, one hundred sixty".