32730019920 has 480 divisors, whose sum is σ = 124654438272. Its totient is φ = 7932266496.

The previous prime is 32730019919. The next prime is 32730019943. The reversal of 32730019920 is 2991003723.

32730019920 is a `hidden beast` number, since 327 + 300 + 1 + 9 + 9 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16931274 + ... + 16933206.

Almost surely, 2^32730019920 is an apocalyptic number.

32730019920 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 32730019920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62327219136).

32730019920 is an abundant number, since it is smaller than the sum of its proper divisors (91924418352).

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

32730019920 is a wasteful number, since it uses less digits than its factorization.

32730019920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 32730019920 in words is "thirty-two billion, seven hundred thirty million, nineteen thousand, nine hundred twenty".