16724401664 has 80 divisors (see below), whose sum is σ = 33925953600. Its totient is φ = 8235515904.

The previous prime is 16724401657. The next prime is 16724401669. The reversal of 16724401664 is 46610442761.

It is a super-2 number, since 2×16724401664² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16724401669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11868992 + ... + 11870400.

It is an arithmetic number, because the mean of its divisors is an integer number (424074420).

Almost surely, 2^16724401664 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 16724401664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16962976800).

16724401664 is an abundant number, since it is smaller than the sum of its proper divisors (17201551936).

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

16724401664 is an equidigital number, since it uses as much as digits as its factorization.

16724401664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 16724401664 in words is "sixteen billion, seven hundred twenty-four million, four hundred one thousand, six hundred sixty-four".