12640954023768 has 384 divisors, whose sum is σ = 38825304307200. Its totient is φ = 3349544140800.

The previous prime is 12640954023767. The next prime is 12640954023769. The reversal of 12640954023768 is 86732045904621.

It is an interprime number because it is at equal distance from previous prime (12640954023767) and next prime (12640954023769).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12640954023767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24262867348 + ... + 24262867868.

It is an arithmetic number, because the mean of its divisors is an integer number (101107563300).

It is a 2-persistent number, because it is pandigital, and so is 2⋅12640954023768 = 25281908047536, but 3⋅12640954023768 = 37922862071304 is not.

Almost surely, 2^{12640954023768} 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 12640954023768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19412652153600).

12640954023768 is an abundant number, since it is smaller than the sum of its proper divisors (26184350283432).

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

12640954023768 is a wasteful number, since it uses less digits than its factorization.

12640954023768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 12640954023768 in words is "twelve trillion, six hundred forty billion, nine hundred fifty-four million, twenty-three thousand, seven hundred sixty-eight".