831824823680 has 64 divisors (see below), whose sum is σ = 1997498966400. Its totient is φ = 331237810176.

The previous prime is 831824823679. The next prime is 831824823689. The reversal of 831824823680 is 86328428138.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831824823689) 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 7 ways as a sum of consecutive naturals, for example, 2771465 + ... + 3056904.

It is an arithmetic number, because the mean of its divisors is an integer number (31210921350).

Almost surely, 2^831824823680 is an apocalyptic number.

831824823680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

831824823680 is an abundant number, since it is smaller than the sum of its proper divisors (1165674142720).

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

831824823680 is a wasteful number, since it uses less digits than its factorization.

831824823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5828611 (or 5828599 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 53.

The spelling of 831824823680 in words is "eight hundred thirty-one billion, eight hundred twenty-four million, eight hundred twenty-three thousand, six hundred eighty".