829979568480 has 192 divisors, whose sum is σ = 2720229946560. Its totient is φ = 212460036096.

The previous prime is 829979568461. The next prime is 829979568493. The reversal of 829979568480 is 84865979928.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2235834 + ... + 2580486.

It is an arithmetic number, because the mean of its divisors is an integer number (14167864305).

Almost surely, 2^829979568480 is an apocalyptic number.

829979568480 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 829979568480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360114973280).

829979568480 is an abundant number, since it is smaller than the sum of its proper divisors (1890250378080).

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

829979568480 is a wasteful number, since it uses less digits than its factorization.

829979568480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344873 (or 344865 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 75.

The spelling of 829979568480 in words is "eight hundred twenty-nine billion, nine hundred seventy-nine million, five hundred sixty-eight thousand, four hundred eighty".