11682463680 has 224 divisors, whose sum is σ = 41385012480. Its totient is φ = 3102336000.

The previous prime is 11682463601. The next prime is 11682463687. The reversal of 11682463680 is 8636428611.

11682463680 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 2 + 4 + 636 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11682463687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2165947 + ... + 2171333.

It is an arithmetic number, because the mean of its divisors is an integer number (184754520).

Almost surely, 2^11682463680 is an apocalyptic number.

11682463680 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 11682463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20692506240).

11682463680 is an abundant number, since it is smaller than the sum of its proper divisors (29702548800).

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

11682463680 is a wasteful number, since it uses less digits than its factorization.

11682463680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5664 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 11682463680 in words is "eleven billion, six hundred eighty-two million, four hundred sixty-three thousand, six hundred eighty".