11684340720 has 800 divisors, whose sum is σ = 47640700800. Its totient is φ = 2627665920.

The previous prime is 11684340697. The next prime is 11684340721. The reversal of 11684340720 is 2704348611.

11684340720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11684340720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11684340721) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 58715181 + ... + 58715379.

It is an arithmetic number, because the mean of its divisors is an integer number (59550876).

Almost surely, 2^11684340720 is an apocalyptic number.

11684340720 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 11684340720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23820350400).

11684340720 is an abundant number, since it is smaller than the sum of its proper divisors (35956360080).

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

11684340720 is a wasteful number, since it uses less digits than its factorization.

11684340720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 11684340720 in words is "eleven billion, six hundred eighty-four million, three hundred forty thousand, seven hundred twenty".