32675414120 has 64 divisors (see below), whose sum is σ = 75358080000. Its totient is φ = 12743723520.

The previous prime is 32675414099. The next prime is 32675414143. The reversal of 32675414120 is 2141457623.

It is a super-3 number, since 3×32675414120³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3273377 + ... + 3283343.

It is an arithmetic number, because the mean of its divisors is an integer number (1177470000).

Almost surely, 2^32675414120 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 32675414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37679040000).

32675414120 is an abundant number, since it is smaller than the sum of its proper divisors (42682665880).

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

32675414120 is a wasteful number, since it uses less digits than its factorization.

32675414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12018 (or 12014 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 32675414120 in words is "thirty-two billion, six hundred seventy-five million, four hundred fourteen thousand, one hundred twenty".