32608427136000 has 704 divisors, whose sum is σ = 109718285564160. Its totient is φ = 8595947520000.

The previous prime is 32608427135993. The next prime is 32608427136011. The reversal of 32608427136000 is 63172480623.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12441214690 + ... + 12441217310.

Almost surely, 2^{32608427136000} is an apocalyptic number.

32608427136000 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 32608427136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54859142782080).

32608427136000 is an abundant number, since it is smaller than the sum of its proper divisors (77109858428160).

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

32608427136000 is a wasteful number, since it uses less digits than its factorization.

32608427136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 32608427136000 in words is "thirty-two trillion, six hundred eight billion, four hundred twenty-seven million, one hundred thirty-six thousand".