16724442560 has 224 divisors, whose sum is σ = 46691458560. Its totient is φ = 5587365888.

The previous prime is 16724442521. The next prime is 16724442589. The reversal of 16724442560 is 6524442761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21250487 + ... + 21251273.

Almost surely, 2^16724442560 is an apocalyptic number.

16724442560 is a gapful number since it is divisible by the number (10) 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 16724442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23345729280).

16724442560 is an abundant number, since it is smaller than the sum of its proper divisors (29967016000).

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

16724442560 is a wasteful number, since it uses less digits than its factorization.

16724442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 16724442560 in words is "sixteen billion, seven hundred twenty-four million, four hundred forty-two thousand, five hundred sixty".