32468495904 has 144 divisors (see below), whose sum is σ = 99596794752. Its totient is φ = 9974029824.

The previous prime is 32468495897. The next prime is 32468495921. The reversal of 32468495904 is 40959486423.

32468495904 is a `hidden beast` number, since 3 + 2 + 4 + 6 + 8 + 49 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2400649 + ... + 2414135.

It is an arithmetic number, because the mean of its divisors is an integer number (691644408).

Almost surely, 2^32468495904 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 32468495904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49798397376).

32468495904 is an abundant number, since it is smaller than the sum of its proper divisors (67128298848).

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

32468495904 is a wasteful number, since it uses less digits than its factorization.

32468495904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14159 (or 14148 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 32468495904 in words is "thirty-two billion, four hundred sixty-eight million, four hundred ninety-five thousand, nine hundred four".