32773809132000 has 576 divisors, whose sum is σ = 117603644558400. Its totient is φ = 8643104870400.

The previous prime is 32773809131951. The next prime is 32773809132017. The reversal of 32773809132000 is 23190837723.

32773809132000 is a `hidden beast` number, since 327 + 7 + 38 + 0 + 91 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2146420366 + ... + 2146435634.

It is an arithmetic number, because the mean of its divisors is an integer number (204172994025).

Almost surely, 2^{32773809132000} is an apocalyptic number.

32773809132000 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 32773809132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58801822279200).

32773809132000 is an abundant number, since it is smaller than the sum of its proper divisors (84829835426400).

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

32773809132000 is a wasteful number, since it uses less digits than its factorization.

32773809132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15956 (or 15935 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

Adding to 32773809132000 its reverse (23190837723), we get a palindrome (32796999969723).

The spelling of 32773809132000 in words is "thirty-two trillion, seven hundred seventy-three billion, eight hundred nine million, one hundred thirty-two thousand".