11636319240 has 576 divisors, whose sum is σ = 47481033600. Its totient is φ = 2419642368.

The previous prime is 11636319221. The next prime is 11636319241. The reversal of 11636319240 is 4291363611.

11636319240 is a `hidden beast` number, since 1 + 1 + 636 + 3 + 19 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11636319195 and 11636319204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11636319241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37903167 + ... + 37903473.

It is an arithmetic number, because the mean of its divisors is an integer number (82432350).

Almost surely, 2^11636319240 is an apocalyptic number.

11636319240 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 11636319240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23740516800).

11636319240 is an abundant number, since it is smaller than the sum of its proper divisors (35844714360).

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

11636319240 is a wasteful number, since it uses less digits than its factorization.

11636319240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 11636319240 in words is "eleven billion, six hundred thirty-six million, three hundred nineteen thousand, two hundred forty".