834675674560 has 672 divisors, whose sum is σ = 2682461601792. Its totient is φ = 244482416640.

The previous prime is 834675674543. The next prime is 834675674579. The reversal of 834675674560 is 65476576438.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145335049 + ... + 145340791.

It is an arithmetic number, because the mean of its divisors is an integer number (3991758336).

Almost surely, 2^834675674560 is an apocalyptic number.

834675674560 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 834675674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341230800896).

834675674560 is an abundant number, since it is smaller than the sum of its proper divisors (1847785927232).

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

834675674560 is a wasteful number, since it uses less digits than its factorization.

834675674560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841 (or 5824 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 61.

The spelling of 834675674560 in words is "eight hundred thirty-four billion, six hundred seventy-five million, six hundred seventy-four thousand, five hundred sixty".