12754757643264 has 2640 divisors, whose sum is σ = 51409073565696. Its totient is φ = 3063619584000.

The previous prime is 12754757643247. The next prime is 12754757643311. The reversal of 12754757643264 is 46234675745721.

12754757643264 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 4 + 75 + 76 + 432 + 64 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 84468593589 + ... + 84468593739.

Almost surely, 2^{12754757643264} is an apocalyptic number.

12754757643264 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 12754757643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25704536782848).

12754757643264 is an abundant number, since it is smaller than the sum of its proper divisors (38654315922432).

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

12754757643264 is a wasteful number, since it uses less digits than its factorization.

12754757643264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 226 counting only the distinct ones).

The product of its digits is 237081600, while the sum is 63.

The spelling of 12754757643264 in words is "twelve trillion, seven hundred fifty-four billion, seven hundred fifty-seven million, six hundred forty-three thousand, two hundred sixty-four".