832348007568 has 2400 divisors, whose sum is σ = 3537583104000. Its totient is φ = 186549350400.

The previous prime is 832348007567. The next prime is 832348007581. The reversal of 832348007568 is 865700843238.

832348007568 is a `hidden beast` number, since 8 + 32 + 3 + 48 + 0 + 0 + 7 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (832348007567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 26849935713 + ... + 26849935743.

It is an arithmetic number, because the mean of its divisors is an integer number (1473992960).

Almost surely, 2^832348007568 is an apocalyptic number.

832348007568 is a gapful number since it is divisible by the number (88) 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 832348007568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768791552000).

832348007568 is an abundant number, since it is smaller than the sum of its proper divisors (2705235096432).

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

832348007568 is a wasteful number, since it uses less digits than its factorization.

832348007568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 832348007568 in words is "eight hundred thirty-two billion, three hundred forty-eight million, seven thousand, five hundred sixty-eight".