832068357120 has 2112 divisors, whose sum is σ = 4045867660800. Its totient is φ = 159411732480.

The previous prime is 832068357119. The next prime is 832068357137. The reversal of 832068357120 is 21753860238.

832068357120 is a `hidden beast` number, since 83 + 206 + 8 + 357 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 968647251 + ... + 968648109.

Almost surely, 2^832068357120 is an apocalyptic number.

832068357120 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 832068357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022933830400).

832068357120 is an abundant number, since it is smaller than the sum of its proper divisors (3213799303680).

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

832068357120 is a wasteful number, since it uses less digits than its factorization.

832068357120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 832068357120 in words is "eight hundred thirty-two billion, sixty-eight million, three hundred fifty-seven thousand, one hundred twenty".