11733704640 has 1008 divisors, whose sum is σ = 51143013792. Its totient is φ = 2452488192.

The previous prime is 11733704627. The next prime is 11733704641. The reversal of 11733704640 is 4640733711.

11733704640 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 3 + 7 + 0 + 4 + 640 = 666.

11733704640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 11733704595 and 11733704604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11733704641) 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 143 ways as a sum of consecutive naturals, for example, 160735644 + ... + 160735716.

Almost surely, 2^11733704640 is an apocalyptic number.

11733704640 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 11733704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25571506896).

11733704640 is an abundant number, since it is smaller than the sum of its proper divisors (39409309152).

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

11733704640 is a wasteful number, since it uses less digits than its factorization.

11733704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 11733704640 in words is "eleven billion, seven hundred thirty-three million, seven hundred four thousand, six hundred forty".