12884984640 has 336 divisors, whose sum is σ = 48648128256. Its totient is φ = 3104256000.

The previous prime is 12884984627. The next prime is 12884984663. The reversal of 12884984640 is 4648948821.

It is a happy number.

12884984640 is a `hidden beast` number, since 12 + 8 + 84 + 98 + 464 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5479465 + ... + 5481815.

It is an arithmetic number, because the mean of its divisors is an integer number (144786096).

Almost surely, 2^12884984640 is an apocalyptic number.

12884984640 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 12884984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24324064128).

12884984640 is an abundant number, since it is smaller than the sum of its proper divisors (35763143616).

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

12884984640 is a wasteful number, since it uses less digits than its factorization.

12884984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 12884984640 in words is "twelve billion, eight hundred eighty-four million, nine hundred eighty-four thousand, six hundred forty".