12763216577664 has 384 divisors, whose sum is σ = 42265019047680. Its totient is φ = 3621422407680.

The previous prime is 12763216577633. The next prime is 12763216577719. The reversal of 12763216577664 is 46677561236721.

12763216577664 is a `hidden beast` number, since 1 + 27 + 6 + 32 + 1 + 6 + 577 + 6 + 6 + 4 = 666.

12763216577664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1349029894 + ... + 1349039354.

It is an arithmetic number, because the mean of its divisors is an integer number (110065153770).

Almost surely, 2^{12763216577664} is an apocalyptic number.

12763216577664 is a gapful number since it is divisible by the number (14) 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 12763216577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21132509523840).

12763216577664 is an abundant number, since it is smaller than the sum of its proper divisors (29501802470016).

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

12763216577664 is a wasteful number, since it uses less digits than its factorization.

12763216577664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10628 (or 10613 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 63.

The spelling of 12763216577664 in words is "twelve trillion, seven hundred sixty-three billion, two hundred sixteen million, five hundred seventy-seven thousand, six hundred sixty-four".