863734395168 has 384 divisors, whose sum is σ = 2605289702400. Its totient is φ = 278293211136.

The previous prime is 863734395151. The next prime is 863734395221. The reversal of 863734395168 is 861593437368.

863734395168 is a `hidden beast` number, since 8 + 6 + 3 + 73 + 43 + 9 + 516 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 727661071 + ... + 727662257.

It is an arithmetic number, because the mean of its divisors is an integer number (6784608600).

Almost surely, 2^863734395168 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 863734395168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302644851200).

863734395168 is an abundant number, since it is smaller than the sum of its proper divisors (1741555307232).

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

863734395168 is a wasteful number, since it uses less digits than its factorization.

863734395168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1487 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 863734395168 in words is "eight hundred sixty-three billion, seven hundred thirty-four million, three hundred ninety-five thousand, one hundred sixty-eight".