12768440580 has 864 divisors, whose sum is σ = 51197432832. Its totient is φ = 2554675200.

The previous prime is 12768440557. The next prime is 12768440609. The reversal of 12768440580 is 8504486721.

12768440580 is a `hidden beast` number, since 1 + 2 + 7 + 68 + 4 + 4 + 0 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 190573707 + ... + 190573773.

It is an arithmetic number, because the mean of its divisors is an integer number (59256288).

Almost surely, 2^12768440580 is an apocalyptic number.

12768440580 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 12768440580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25598716416).

12768440580 is an abundant number, since it is smaller than the sum of its proper divisors (38428992252).

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

12768440580 is a wasteful number, since it uses less digits than its factorization.

12768440580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 12768440580 in words is "twelve billion, seven hundred sixty-eight million, four hundred forty thousand, five hundred eighty".