12468487680 has 960 divisors, whose sum is σ = 52136663040. Its totient is φ = 2797977600.

The previous prime is 12468487643. The next prime is 12468487699. The reversal of 12468487680 is 8678486421.

12468487680 is a `hidden beast` number, since 1 + 24 + 68 + 487 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 402209265 + ... + 402209295.

It is an arithmetic number, because the mean of its divisors is an integer number (54309024).

Almost surely, 2^12468487680 is an apocalyptic number.

12468487680 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 12468487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26068331520).

12468487680 is an abundant number, since it is smaller than the sum of its proper divisors (39668175360).

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

12468487680 is a wasteful number, since it uses less digits than its factorization.

12468487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 12468487680 in words is "twelve billion, four hundred sixty-eight million, four hundred eighty-seven thousand, six hundred eighty".