32997408768 has 192 divisors, whose sum is σ = 97685160300. Its totient is φ = 10726932480.

The previous prime is 32997408761. The next prime is 32997408803. The reversal of 32997408768 is 86780479923.

It can be written as a sum of positive squares in 2 ways, for example, as 32990183424 + 7225344 = 181632^2 + 2688^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (32997408761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12090028 + ... + 12092756.

Almost surely, 2^32997408768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32997408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48842580150).

32997408768 is an abundant number, since it is smaller than the sum of its proper divisors (64687751532).

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

32997408768 is an equidigital number, since it uses as much as digits as its factorization.

32997408768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 32997408768 in words is "thirty-two billion, nine hundred ninety-seven million, four hundred eight thousand, seven hundred sixty-eight".