12643471680 has 448 divisors, whose sum is σ = 48245207040. Its totient is φ = 2742829056.

The previous prime is 12643471669. The next prime is 12643471697. The reversal of 12643471680 is 8617434621.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×12643471680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 27666012 + ... + 27666468.

Almost surely, 2^12643471680 is an apocalyptic number.

12643471680 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 12643471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24122603520).

12643471680 is an abundant number, since it is smaller than the sum of its proper divisors (35601735360).

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

12643471680 is a wasteful number, since it uses less digits than its factorization.

12643471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 12643471680 in words is "twelve billion, six hundred forty-three million, four hundred seventy-one thousand, six hundred eighty".