32485920768 has 468 divisors, whose sum is σ = 111658925664. Its totient is φ = 8913715200.

The previous prime is 32485920739. The next prime is 32485920781. The reversal of 32485920768 is 86702958423.

32485920768 is a `hidden beast` number, since 3 + 2 + 48 + 592 + 0 + 7 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 247984063 + ... + 247984193.

It is an arithmetic number, because the mean of its divisors is an integer number (238587448).

Almost surely, 2^32485920768 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 32485920768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55829462832).

32485920768 is an abundant number, since it is smaller than the sum of its proper divisors (79173004896).

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

32485920768 is a wasteful number, since it uses less digits than its factorization.

32485920768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 32485920768 in words is "thirty-two billion, four hundred eighty-five million, nine hundred twenty thousand, seven hundred sixty-eight".