32730808320 has 768 divisors, whose sum is σ = 136270857600. Its totient is φ = 7431782400.

The previous prime is 32730808307. The next prime is 32730808349. The reversal of 32730808320 is 2380803723.

32730808320 is a `hidden beast` number, since 3 + 27 + 308 + 0 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216760245 + ... + 216760395.

Almost surely, 2^32730808320 is an apocalyptic number.

32730808320 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 32730808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68135428800).

32730808320 is an abundant number, since it is smaller than the sum of its proper divisors (103540049280).

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

32730808320 is an equidigital number, since it uses as much as digits as its factorization.

32730808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 32730808320 in words is "thirty-two billion, seven hundred thirty million, eight hundred eight thousand, three hundred twenty".