32944728960 has 1536 divisors, whose sum is σ = 146278379520. Its totient is φ = 6715146240.

The previous prime is 32944728959. The next prime is 32944728979. The reversal of 32944728960 is 6982744923.

32944728960 is a `hidden beast` number, since 3 + 2 + 94 + 472 + 89 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 32944728897 and 32944728906.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 700951657 + ... + 700951703.

It is an arithmetic number, because the mean of its divisors is an integer number (95233320).

Almost surely, 2^32944728960 is an apocalyptic number.

32944728960 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 32944728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73139189760).

32944728960 is an abundant number, since it is smaller than the sum of its proper divisors (113333650560).

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

32944728960 is a wasteful number, since it uses less digits than its factorization.

32944728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 32944728960 in words is "thirty-two billion, nine hundred forty-four million, seven hundred twenty-eight thousand, nine hundred sixty".