11724963840 has 720 divisors, whose sum is σ = 45800401920. Its totient is φ = 2866544640.

The previous prime is 11724963827. The next prime is 11724963847. The reversal of 11724963840 is 4836942711.

11724963840 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 4 + 9 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11724963847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378224625 + ... + 378224655.

Almost surely, 2^11724963840 is an apocalyptic number.

11724963840 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 11724963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900200960).

11724963840 is an abundant number, since it is smaller than the sum of its proper divisors (34075438080).

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

11724963840 is an frugal number, since it uses more digits than its factorization.

11724963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11724963840 in words is "eleven billion, seven hundred twenty-four million, nine hundred sixty-three thousand, eight hundred forty".