832032027306480 has 1280 divisors, whose sum is σ = 3649840955228160. Its totient is φ = 151006220697600.

The previous prime is 832032027306443. The next prime is 832032027306533. The reversal of 832032027306480 is 84603720230238.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3747392749 + ... + 3747614771.

It is an arithmetic number, because the mean of its divisors is an integer number (2851438246272).

Almost surely, 2^{832032027306480} is an apocalyptic number.

832032027306480 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 832032027306480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824920477614080).

832032027306480 is an abundant number, since it is smaller than the sum of its proper divisors (2817808927921680).

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

832032027306480 is a wasteful number, since it uses less digits than its factorization.

832032027306480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222910 (or 222904 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 832032027306480 in words is "eight hundred thirty-two trillion, thirty-two billion, twenty-seven million, three hundred six thousand, four hundred eighty".