32354232768 has 336 divisors, whose sum is σ = 112473833472. Its totient is φ = 8757504000.

The previous prime is 32354232763. The next prime is 32354232769. The reversal of 32354232768 is 86723245323.

32354232768 is a `hidden beast` number, since 3 + 2 + 3 + 542 + 32 + 76 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32354232763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2547073 + ... + 2559743.

It is an arithmetic number, because the mean of its divisors is an integer number (334743552).

Almost surely, 2^32354232768 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 32354232768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56236916736).

32354232768 is an abundant number, since it is smaller than the sum of its proper divisors (80119600704).

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

32354232768 is a wasteful number, since it uses less digits than its factorization.

32354232768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12744 (or 12731 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 32354232768 in words is "thirty-two billion, three hundred fifty-four million, two hundred thirty-two thousand, seven hundred sixty-eight".