830368530432 has 960 divisors, whose sum is σ = 2989608652800. Its totient is φ = 222670356480.

The previous prime is 830368530419. The next prime is 830368530449. The reversal of 830368530432 is 234035863038.

830368530432 is a `hidden beast` number, since 8 + 303 + 6 + 8 + 5 + 304 + 32 = 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, 6338691007 + ... + 6338691137.

It is an arithmetic number, because the mean of its divisors is an integer number (3114175680).

Almost surely, 2^830368530432 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 830368530432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494804326400).

830368530432 is an abundant number, since it is smaller than the sum of its proper divisors (2159240122368).

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

830368530432 is a wasteful number, since it uses less digits than its factorization.

830368530432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 830368530432 in words is "eight hundred thirty billion, three hundred sixty-eight million, five hundred thirty thousand, four hundred thirty-two".