12769579683360 has 768 divisors, whose sum is σ = 47626976678400. Its totient is φ = 3184370122752.

The previous prime is 12769579683347. The next prime is 12769579683407. The reversal of 12769579683360 is 6338697596721.

12769579683360 is a `hidden beast` number, since 12 + 7 + 6 + 9 + 579 + 6 + 8 + 3 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11683054974 + ... + 11683056066.

It is an arithmetic number, because the mean of its divisors is an integer number (62014292550).

Almost surely, 2^{12769579683360} is an apocalyptic number.

12769579683360 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 12769579683360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23813488339200).

12769579683360 is an abundant number, since it is smaller than the sum of its proper divisors (34857396995040).

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

12769579683360 is a wasteful number, since it uses less digits than its factorization.

12769579683360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 12769579683360 in words is "twelve trillion, seven hundred sixty-nine billion, five hundred seventy-nine million, six hundred eighty-three thousand, three hundred sixty".