32642612712 has 256 divisors, whose sum is σ = 98561664000. Its totient is φ = 9974866176.

The previous prime is 32642612707. The next prime is 32642612719. The reversal of 32642612712 is 21721624623.

32642612712 is a `hidden beast` number, since 3 + 2 + 642 + 6 + 1 + 2 + 7 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (32642612719) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34469023 + ... + 34469969.

It is an arithmetic number, because the mean of its divisors is an integer number (385006500).

Almost surely, 2^32642612712 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 32642612712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49280832000).

32642612712 is an abundant number, since it is smaller than the sum of its proper divisors (65919051288).

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

32642612712 is a wasteful number, since it uses less digits than its factorization.

32642612712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1235 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The spelling of 32642612712 in words is "thirty-two billion, six hundred forty-two million, six hundred twelve thousand, seven hundred twelve".