30993682320 has 160 divisors (see below), whose sum is σ = 106861017600. Its totient is φ = 8256854016.

The previous prime is 30993682301. The next prime is 30993682337. The reversal of 30993682320 is 2328639903.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 2375976 + ... + 2388984.

It is an arithmetic number, because the mean of its divisors is an integer number (667881360).

Almost surely, 2^30993682320 is an apocalyptic number.

30993682320 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 30993682320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53430508800).

30993682320 is an abundant number, since it is smaller than the sum of its proper divisors (75867335280).

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

30993682320 is a wasteful number, since it uses less digits than its factorization.

30993682320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14134 (or 14122 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 30993682320 in words is "thirty billion, nine hundred ninety-three million, six hundred eighty-two thousand, three hundred twenty".