32940649728 has 360 divisors, whose sum is σ = 112858887680. Its totient is φ = 9361059840.

The previous prime is 32940649691. The next prime is 32940649739. The reversal of 32940649728 is 82794604923.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 33239313 + ... + 33240303.

Almost surely, 2^32940649728 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 32940649728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56429443840).

32940649728 is an abundant number, since it is smaller than the sum of its proper divisors (79918237952).

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

32940649728 is an equidigital number, since it uses as much as digits as its factorization.

32940649728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1232 counting only the distinct ones).

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

The spelling of 32940649728 in words is "thirty-two billion, nine hundred forty million, six hundred forty-nine thousand, seven hundred twenty-eight".