11784745440 has 576 divisors, whose sum is σ = 48294792000. Its totient is φ = 2585198592.

The previous prime is 11784745439. The next prime is 11784745477. The reversal of 11784745440 is 4454748711.

11784745440 is a `hidden beast` number, since 1 + 178 + 474 + 5 + 4 + 4 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 6045586 + ... + 6047534.

It is an arithmetic number, because the mean of its divisors is an integer number (83845125).

Almost surely, 2^11784745440 is an apocalyptic number.

11784745440 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 11784745440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24147396000).

11784745440 is an abundant number, since it is smaller than the sum of its proper divisors (36510046560).

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

11784745440 is a wasteful number, since it uses less digits than its factorization.

11784745440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 11784745440 in words is "eleven billion, seven hundred eighty-four million, seven hundred forty-five thousand, four hundred forty".