12780450641664 has 432 divisors, whose sum is σ = 38482808442624. Its totient is φ = 4074651648000.

The previous prime is 12780450641659. The next prime is 12780450641681. The reversal of 12780450641664 is 46614605408721.

12780450641664 is a `hidden beast` number, since 1 + 2 + 78 + 0 + 4 + 506 + 4 + 1 + 6 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12780450641664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5287731784 + ... + 5287734200.

Almost surely, 2^{12780450641664} 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 12780450641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19241404221312).

12780450641664 is an abundant number, since it is smaller than the sum of its proper divisors (25702357800960).

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

12780450641664 is a wasteful number, since it uses less digits than its factorization.

12780450641664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 12780450641664 in words is "twelve trillion, seven hundred eighty billion, four hundred fifty million, six hundred forty-one thousand, six hundred sixty-four".