32993660064 has 144 divisors (see below), whose sum is σ = 91338861600. Its totient is φ = 10415827968.

The previous prime is 32993660023. The next prime is 32993660071. The reversal of 32993660064 is 46006639923.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 32993659995 and 32993660022.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7818147 + ... + 7822365.

It is an arithmetic number, because the mean of its divisors is an integer number (634297650).

Almost surely, 2^32993660064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32993660064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45669430800).

32993660064 is an abundant number, since it is smaller than the sum of its proper divisors (58345201536).

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

32993660064 is a wasteful number, since it uses less digits than its factorization.

32993660064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 48.

The spelling of 32993660064 in words is "thirty-two billion, nine hundred ninety-three million, six hundred sixty thousand, sixty-four".