32661673056 has 288 divisors, whose sum is σ = 100923863040. Its totient is φ = 9985876992.

The previous prime is 32661673027. The next prime is 32661673069. The reversal of 32661673056 is 65037616623.

32661673056 is a `hidden beast` number, since 3 + 26 + 616 + 7 + 3 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29882046 + ... + 29883138.

It is an arithmetic number, because the mean of its divisors is an integer number (350430080).

Almost surely, 2^32661673056 is an apocalyptic number.

32661673056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32661673056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50461931520).

32661673056 is an abundant number, since it is smaller than the sum of its proper divisors (68262189984).

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

32661673056 is a wasteful number, since it uses less digits than its factorization.

32661673056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 32661673056 in words is "thirty-two billion, six hundred sixty-one million, six hundred seventy-three thousand, fifty-six".