16202568064 has 64 divisors (see below), whose sum is σ = 32868218880. Its totient is φ = 7954240000.

The previous prime is 16202568049. The next prime is 16202568143. The reversal of 16202568064 is 46086520261.

16202568064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 2277537 + ... + 2284639.

It is an arithmetic number, because the mean of its divisors is an integer number (513565920).

Almost surely, 2^16202568064 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 16202568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16434109440).

16202568064 is an abundant number, since it is smaller than the sum of its proper divisors (16665650816).

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

16202568064 is an equidigital number, since it uses as much as digits as its factorization.

16202568064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7439 (or 7427 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 16202568064 in words is "sixteen billion, two hundred two million, five hundred sixty-eight thousand, sixty-four".