830329868832 has 96 divisors (see below), whose sum is σ = 2209869527040. Its totient is φ = 272951162880.

The previous prime is 830329868759. The next prime is 830329868869. The reversal of 830329868832 is 238868923038.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3145482 + ... + 3399222.

It is an arithmetic number, because the mean of its divisors is an integer number (23019474240).

Almost surely, 2^830329868832 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 830329868832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104934763520).

830329868832 is an abundant number, since it is smaller than the sum of its proper divisors (1379539658208).

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

830329868832 is a wasteful number, since it uses less digits than its factorization.

830329868832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254226 (or 254218 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 830329868832 in words is "eight hundred thirty billion, three hundred twenty-nine million, eight hundred sixty-eight thousand, eight hundred thirty-two".