12769635658464 has 960 divisors, whose sum is σ = 40931414802432. Its totient is φ = 3895309440000.

The previous prime is 12769635658457. The next prime is 12769635658501. The reversal of 12769635658464 is 46485653696721.

12769635658464 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 9 + 6 + 35 + 6 + 584 + 6 + 4 = 666.

12769635658464 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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 12769635658392 and 12769635658401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47120426649 + ... + 47120426919.

Almost surely, 2^{12769635658464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12769635658464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20465707401216).

12769635658464 is an abundant number, since it is smaller than the sum of its proper divisors (28161779143968).

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

12769635658464 is a wasteful number, since it uses less digits than its factorization.

12769635658464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 664 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 72.

The spelling of 12769635658464 in words is "twelve trillion, seven hundred sixty-nine billion, six hundred thirty-five million, six hundred fifty-eight thousand, four hundred sixty-four".