12768938380 has 192 divisors, whose sum is σ = 31294771200. Its totient is φ = 4332625920.

The previous prime is 12768938363. The next prime is 12768938419. The reversal of 12768938380 is 8383986721.

It is a Harshad number since it is a multiple of its sum of digits (55).

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, 29086201 + ... + 29086639.

It is an arithmetic number, because the mean of its divisors is an integer number (162993600).

Almost surely, 2^12768938380 is an apocalyptic number.

12768938380 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 12768938380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15647385600).

12768938380 is an abundant number, since it is smaller than the sum of its proper divisors (18525832820).

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

12768938380 is a wasteful number, since it uses less digits than its factorization.

12768938380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 12768938380 in words is "twelve billion, seven hundred sixty-eight million, nine hundred thirty-eight thousand, three hundred eighty".