11680837632 has 520 divisors, whose sum is σ = 39247995600. Its totient is φ = 3439853568.

The previous prime is 11680837631. The next prime is 11680837709. The reversal of 11680837632 is 23673808611.

11680837632 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 0 + 8 + 3 + 7 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11680837631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 107163594 + ... + 107163702.

Almost surely, 2^11680837632 is an apocalyptic number.

11680837632 is a gapful number since it is divisible by the number (12) 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 11680837632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19623997800).

11680837632 is an abundant number, since it is smaller than the sum of its proper divisors (27567157968).

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

11680837632 is a wasteful number, since it uses less digits than its factorization.

11680837632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11680837632 in words is "eleven billion, six hundred eighty million, eight hundred thirty-seven thousand, six hundred thirty-two".