32893074327672 has 256 divisors, whose sum is σ = 101476896259200. Its totient is φ = 9806538792960.

The previous prime is 32893074327661. The next prime is 32893074327679. The reversal of 32893074327672 is 27672347039823.

It is a happy number.

32893074327672 is a `hidden beast` number, since 3 + 289 + 307 + 43 + 2 + 7 + 6 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32893074327679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24382098 + ... + 25695774.

Almost surely, 2^{32893074327672} 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 32893074327672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50738448129600).

32893074327672 is an abundant number, since it is smaller than the sum of its proper divisors (68583821931528).

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

32893074327672 is a wasteful number, since it uses less digits than its factorization.

32893074327672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313983 (or 1313973 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 63.

The spelling of 32893074327672 in words is "thirty-two trillion, eight hundred ninety-three billion, seventy-four million, three hundred twenty-seven thousand, six hundred seventy-two".