12768338880 has 448 divisors, whose sum is σ = 50480732160. Its totient is φ = 3010867200.

The previous prime is 12768338851. The next prime is 12768338911. The reversal of 12768338880 is 8883386721.

12768338880 is a `hidden beast` number, since 127 + 68 + 3 + 388 + 80 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3514665 + ... + 3518295.

Almost surely, 2^12768338880 is an apocalyptic number.

12768338880 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 12768338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25240366080).

12768338880 is an abundant number, since it is smaller than the sum of its proper divisors (37712393280).

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

12768338880 is a wasteful number, since it uses less digits than its factorization.

12768338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 12768338880 in words is "twelve billion, seven hundred sixty-eight million, three hundred thirty-eight thousand, eight hundred eighty".