32295680460864 has 168 divisors, whose sum is σ = 95188900247168. Its totient is φ = 10461353886720.

The previous prime is 32295680460847. The next prime is 32295680460913. The reversal of 32295680460864 is 46806408659223.

It is a happy number.

32295680460864 is a `hidden beast` number, since 3 + 2 + 2 + 9 + 568 + 0 + 4 + 6 + 0 + 8 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16349769 + ... + 18218295.

Almost surely, 2^{32295680460864} 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 32295680460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47594450123584).

32295680460864 is an abundant number, since it is smaller than the sum of its proper divisors (62893219786304).

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

32295680460864 is a wasteful number, since it uses less digits than its factorization.

32295680460864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869393 (or 1869380 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 32295680460864 in words is "thirty-two trillion, two hundred ninety-five billion, six hundred eighty million, four hundred sixty thousand, eight hundred sixty-four".