11776040640 has 840 divisors, whose sum is σ = 51275912688. Its totient is φ = 2465648640.

The previous prime is 11776040603. The next prime is 11776040669. The reversal of 11776040640 is 4604067711.

11776040640 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 6 + 0 + 4 + 0 + 640 = 666.

11776040640 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 (840).

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 = 11776040595 and 11776040604.

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 119 ways as a sum of consecutive naturals, for example, 89893375 + ... + 89893505.

Almost surely, 2^11776040640 is an apocalyptic number.

11776040640 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 11776040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25637956344).

11776040640 is an abundant number, since it is smaller than the sum of its proper divisors (39499872048).

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

11776040640 is a wasteful number, since it uses less digits than its factorization.

11776040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 11776040640 in words is "eleven billion, seven hundred seventy-six million, forty thousand, six hundred forty".