32715768512 has 112 divisors (see below), whose sum is σ = 75406837248. Its totient is φ = 13792880640.

The previous prime is 32715768479. The next prime is 32715768517. The reversal of 32715768512 is 21586751723.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (32715768517) 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 15 ways as a sum of consecutive naturals, for example, 19624703 + ... + 19626369.

Almost surely, 2^32715768512 is an apocalyptic number.

32715768512 is a gapful number since it is divisible by the number (32) 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 32715768512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37703418624).

32715768512 is an abundant number, since it is smaller than the sum of its proper divisors (42691068736).

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

32715768512 is a wasteful number, since it uses less digits than its factorization.

32715768512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2364 counting only the distinct ones).

The product of its digits is 705600, while the sum is 47.

The spelling of 32715768512 in words is "thirty-two billion, seven hundred fifteen million, seven hundred sixty-eight thousand, five hundred twelve".