11727382464 has 378 divisors, whose sum is σ = 41304691584. Its totient is φ = 3171571200.

The previous prime is 11727382463. The next prime is 11727382487. The reversal of 11727382464 is 46428372711.

11727382464 is a `hidden beast` number, since 117 + 2 + 73 + 8 + 2 + 464 = 666.

It is a super-2 number, since 2×11727382464² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11727382463) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10188289 + ... + 10189439.

Almost surely, 2^11727382464 is an apocalyptic number.

11727382464 is a gapful number since it is divisible by the number (14) 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 11727382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20652345792).

11727382464 is an abundant number, since it is smaller than the sum of its proper divisors (29577309120).

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

11727382464 is a wasteful number, since it uses less digits than its factorization.

11727382464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1182 counting only the distinct ones).

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

The spelling of 11727382464 in words is "eleven billion, seven hundred twenty-seven million, three hundred eighty-two thousand, four hundred sixty-four".