830191910064 has 320 divisors, whose sum is σ = 2488848560640. Its totient is φ = 235823063040.

The previous prime is 830191910017. The next prime is 830191910137. The reversal of 830191910064 is 460019191038.

It is a junction number, because it is equal to n+sod(n) for n = 830191909998 and 830191910025.

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, 404378862 + ... + 404380914.

It is an arithmetic number, because the mean of its divisors is an integer number (7777651752).

Almost surely, 2^830191910064 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 830191910064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244424280320).

830191910064 is an abundant number, since it is smaller than the sum of its proper divisors (1658656650576).

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

830191910064 is a wasteful number, since it uses less digits than its factorization.

830191910064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 830191910064 in words is "eight hundred thirty billion, one hundred ninety-one million, nine hundred ten thousand, sixty-four".