829693699920 has 240 divisors, whose sum is σ = 2978941335552. Its totient is φ = 206214819840.

The previous prime is 829693699909. The next prime is 829693699927. The reversal of 829693699920 is 29996396928.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829693699927) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 931665 + ... + 1589775.

Almost surely, 2^829693699920 is an apocalyptic number.

829693699920 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 829693699920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489470667776).

829693699920 is an abundant number, since it is smaller than the sum of its proper divisors (2149247635632).

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

829693699920 is a wasteful number, since it uses less digits than its factorization.

829693699920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658250 (or 658241 counting only the distinct ones).

The product of its (nonzero) digits is 204073344, while the sum is 72.

The spelling of 829693699920 in words is "eight hundred twenty-nine billion, six hundred ninety-three million, six hundred ninety-nine thousand, nine hundred twenty".