16724012240 has 80 divisors (see below), whose sum is σ = 41937972048. Its totient is φ = 6165639168.

The previous prime is 16724012219. The next prime is 16724012251. The reversal of 16724012240 is 4221042761.

It can be written as a sum of positive squares in 8 ways, for example, as 646786624 + 16077225616 = 25432^2 + 126796^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 692204 + ... + 715956.

Almost surely, 2^16724012240 is an apocalyptic number.

16724012240 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 16724012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20968986024).

16724012240 is an abundant number, since it is smaller than the sum of its proper divisors (25213959808).

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

16724012240 is a wasteful number, since it uses less digits than its factorization.

16724012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24456 (or 24450 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The spelling of 16724012240 in words is "sixteen billion, seven hundred twenty-four million, twelve thousand, two hundred forty".