834133677728 has 192 divisors, whose sum is σ = 1915359949440. Its totient is φ = 354340749312.

The previous prime is 834133677683. The next prime is 834133677733. The reversal of 834133677728 is 827776331438.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38647676 + ... + 38669252.

It is an arithmetic number, because the mean of its divisors is an integer number (9975833070).

Almost surely, 2^834133677728 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 834133677728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957679974720).

834133677728 is an abundant number, since it is smaller than the sum of its proper divisors (1081226271712).

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

834133677728 is a wasteful number, since it uses less digits than its factorization.

834133677728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21759 (or 21751 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 59.

The spelling of 834133677728 in words is "eight hundred thirty-four billion, one hundred thirty-three million, six hundred seventy-seven thousand, seven hundred twenty-eight".