12790732680 has 768 divisors, whose sum is σ = 51627663360. Its totient is φ = 2811801600.

The previous prime is 12790732673. The next prime is 12790732733. The reversal of 12790732680 is 8623709721.

12790732680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56346727 + ... + 56346953.

It is an arithmetic number, because the mean of its divisors is an integer number (67223520).

Almost surely, 2^12790732680 is an apocalyptic number.

12790732680 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 12790732680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25813831680).

12790732680 is an abundant number, since it is smaller than the sum of its proper divisors (38836930680).

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

12790732680 is a wasteful number, since it uses less digits than its factorization.

12790732680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 12790732680 in words is "twelve billion, seven hundred ninety million, seven hundred thirty-two thousand, six hundred eighty".