33132661632000 has 3168 divisors, whose sum is σ = 151546306916160. Its totient is φ = 7117170278400.

The previous prime is 33132661631941. The next prime is 33132661632001. The reversal of 33132661632000 is 23616623133.

33132661632000 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 2 + 6 + 616 + 32 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (33132661632001) 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 287 ways as a sum of consecutive naturals, for example, 48940415662 + ... + 48940416338.

Almost surely, 2^{33132661632000} is an apocalyptic number.

33132661632000 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 33132661632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75773153458080).

33132661632000 is an abundant number, since it is smaller than the sum of its proper divisors (118413645284160).

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

33132661632000 is a wasteful number, since it uses less digits than its factorization.

33132661632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 33132661632000 in words is "thirty-three trillion, one hundred thirty-two billion, six hundred sixty-one million, six hundred thirty-two thousand".