12767939518464 has 1120 divisors, whose sum is σ = 44060348455200. Its totient is φ = 3649472299008.

The previous prime is 12767939518463. The next prime is 12767939518483. The reversal of 12767939518464 is 46481593976721.

12767939518464 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 79 + 3 + 95 + 1 + 8 + 464 = 666.

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 = 12767939518392 and 12767939518401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12767939518463) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12171533812 + ... + 12171534860.

It is an arithmetic number, because the mean of its divisors is an integer number (39339596835).

Almost surely, 2^{12767939518464} 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 12767939518464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22030174227600).

12767939518464 is an abundant number, since it is smaller than the sum of its proper divisors (31292408936736).

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

12767939518464 is a wasteful number, since it uses less digits than its factorization.

12767939518464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1167 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 12767939518464 in words is "twelve trillion, seven hundred sixty-seven billion, nine hundred thirty-nine million, five hundred eighteen thousand, four hundred sixty-four".