32468395104 has 480 divisors, whose sum is σ = 103374222336. Its totient is φ = 9976919040.

The previous prime is 32468395103. The next prime is 32468395117. The reversal of 32468395104 is 40159386423.

32468395104 is a `hidden beast` number, since 3 + 246 + 8 + 395 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 32468395104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32468395103) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 199192527 + ... + 199192689.

Almost surely, 2^32468395104 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 32468395104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51687111168).

32468395104 is an abundant number, since it is smaller than the sum of its proper divisors (70905827232).

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

32468395104 is a wasteful number, since it uses less digits than its factorization.

32468395104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 32468395104 in words is "thirty-two billion, four hundred sixty-eight million, three hundred ninety-five thousand, one hundred four".