12640735263078 has 320 divisors, whose sum is σ = 32942293211520. Its totient is φ = 3587760304128.

The previous prime is 12640735263007. The next prime is 12640735263179. The reversal of 12640735263078 is 87036253704621.

It is a happy number.

12640735263078 is a `hidden beast` number, since 1 + 2 + 6 + 40 + 7 + 3 + 526 + 3 + 0 + 78 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2104331151 + ... + 2104337157.

It is an arithmetic number, because the mean of its divisors is an integer number (102944666286).

Almost surely, 2^{12640735263078} is an apocalyptic number.

12640735263078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12640735263078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16471146605760).

12640735263078 is an abundant number, since it is smaller than the sum of its proper divisors (20301557948442).

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

12640735263078 is a wasteful number, since it uses less digits than its factorization.

12640735263078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7213 (or 7204 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

Adding to 12640735263078 its reverse (87036253704621), we get a palindrome (99676988967699).

The spelling of 12640735263078 in words is "twelve trillion, six hundred forty billion, seven hundred thirty-five million, two hundred sixty-three thousand, seventy-eight".