830439485568 has 1280 divisors, whose sum is σ = 3340657520640. Its totient is φ = 198149898240.

The previous prime is 830439485537. The next prime is 830439485573. The reversal of 830439485568 is 865584934038.

It is a happy number.

830439485568 is a `hidden beast` number, since 8 + 3 + 0 + 4 + 39 + 48 + 556 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 583582905 + ... + 583584327.

It is an arithmetic number, because the mean of its divisors is an integer number (2609888688).

Almost surely, 2^830439485568 is an apocalyptic number.

830439485568 is a gapful number since it is divisible by the number (88) 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 830439485568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670328760320).

830439485568 is an abundant number, since it is smaller than the sum of its proper divisors (2510218035072).

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

830439485568 is a wasteful number, since it uses less digits than its factorization.

830439485568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 830439485568 in words is "eight hundred thirty billion, four hundred thirty-nine million, four hundred eighty-five thousand, five hundred sixty-eight".