829625476992 has 256 divisors, whose sum is σ = 2446210609920. Its totient is φ = 247504158720.

The previous prime is 829625476973. The next prime is 829625477003. The reversal of 829625476992 is 299674526928.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 29393767 + ... + 29421977.

It is an arithmetic number, because the mean of its divisors is an integer number (9555510195).

Almost surely, 2^829625476992 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 829625476992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223105304960).

829625476992 is an abundant number, since it is smaller than the sum of its proper divisors (1616585132928).

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

829625476992 is a wasteful number, since it uses less digits than its factorization.

829625476992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28421 (or 28409 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 69.

The spelling of 829625476992 in words is "eight hundred twenty-nine billion, six hundred twenty-five million, four hundred seventy-six thousand, nine hundred ninety-two".