32749672032000 has 4608 divisors, whose sum is σ = 166621490380800. Its totient is φ = 6121488384000.

The previous prime is 32749672031987. The next prime is 32749672032001. The reversal of 32749672032000 is 23027694723.

32749672032000 is a `hidden beast` number, since 327 + 49 + 67 + 20 + 3 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32749672032001) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 26012447371 + ... + 26012448629.

It is an arithmetic number, because the mean of its divisors is an integer number (36159177600).

Almost surely, 2^{32749672032000} is an apocalyptic number.

32749672032000 is a gapful number since it is divisible by the number (30) 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 32749672032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83310745190400).

32749672032000 is an abundant number, since it is smaller than the sum of its proper divisors (133871818348800).

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

32749672032000 is a wasteful number, since it uses less digits than its factorization.

32749672032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 32749672032000 in words is "thirty-two trillion, seven hundred forty-nine billion, six hundred seventy-two million, thirty-two thousand".