834678104832 has 648 divisors, whose sum is σ = 2956202492880. Its totient is φ = 223278612480.

The previous prime is 834678104803. The next prime is 834678104873. The reversal of 834678104832 is 238401876438.

834678104832 is a `hidden beast` number, since 83 + 4 + 6 + 7 + 81 + 0 + 483 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174288294 + ... + 174293082.

Almost surely, 2^834678104832 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 834678104832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478101246440).

834678104832 is an abundant number, since it is smaller than the sum of its proper divisors (2121524388048).

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

834678104832 is a wasteful number, since it uses less digits than its factorization.

834678104832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4881 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 834678104832 in words is "eight hundred thirty-four billion, six hundred seventy-eight million, one hundred four thousand, eight hundred thirty-two".