32082422664960 has 1008 divisors, whose sum is σ = 119264052418560. Its totient is φ = 8256454778880.

The previous prime is 32082422664949. The next prime is 32082422665009. The reversal of 32082422664960 is 6946622428023.

It is a happy number.

32082422664960 is a `hidden beast` number, since 3 + 20 + 82 + 422 + 6 + 64 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 32082422664897 and 32082422664906.

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 12120294357 + ... + 12120297003.

It is an arithmetic number, because the mean of its divisors is an integer number (118317512320).

Almost surely, 2^{32082422664960} is an apocalyptic number.

32082422664960 is a gapful number since it is divisible by the number (30) 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 32082422664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59632026209280).

32082422664960 is an abundant number, since it is smaller than the sum of its proper divisors (87181629753600).

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

32082422664960 is an equidigital number, since it uses as much as digits as its factorization.

32082422664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 32082422664960 in words is "thirty-two trillion, eighty-two billion, four hundred twenty-two million, six hundred sixty-four thousand, nine hundred sixty".