12483776640 has 128 divisors (see below), whose sum is σ = 40352929920. Its totient is φ = 3282083840.

The previous prime is 12483776621. The next prime is 12483776689. The reversal of 12483776640 is 4667738421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12483776640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90532 + ... + 182108.

It is an arithmetic number, because the mean of its divisors is an integer number (315257265).

Almost surely, 2^12483776640 is an apocalyptic number.

12483776640 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 12483776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20176464960).

12483776640 is an abundant number, since it is smaller than the sum of its proper divisors (27869153280).

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

12483776640 is an equidigital number, since it uses as much as digits as its factorization.

12483776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91670 (or 91658 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 12483776640 in words is "twelve billion, four hundred eighty-three million, seven hundred seventy-six thousand, six hundred forty".