11764783440 has 200 divisors, whose sum is σ = 41966037960. Its totient is φ = 3052422144.

The previous prime is 11764783439. The next prime is 11764783487. The reversal of 11764783440 is 4438746711.

11764783440 is a `hidden beast` number, since 1 + 176 + 478 + 3 + 4 + 4 + 0 = 666.

11764783440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 455737104 + 11309046336 = 21348^2 + 106344^2 .

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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 215226 + ... + 264294.

Almost surely, 2^11764783440 is an apocalyptic number.

11764783440 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 11764783440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20983018980).

11764783440 is an abundant number, since it is smaller than the sum of its proper divisors (30201254520).

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

11764783440 is a wasteful number, since it uses less digits than its factorization.

11764783440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49131 (or 49116 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 11764783440 in words is "eleven billion, seven hundred sixty-four million, seven hundred eighty-three thousand, four hundred forty".