12764384051328 has 960 divisors, whose sum is σ = 49484715825600. Its totient is φ = 3189192155136.

The previous prime is 12764384051327. The next prime is 12764384051351. The reversal of 12764384051328 is 82315048346721.

12764384051328 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 43 + 84 + 0 + 513 + 2 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12764384051323) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 233014150 + ... + 233068922.

It is an arithmetic number, because the mean of its divisors is an integer number (51546578985).

Almost surely, 2^{12764384051328} is an apocalyptic number.

12764384051328 is a gapful number since it is divisible by the number (18) 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 12764384051328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24742357912800).

12764384051328 is an abundant number, since it is smaller than the sum of its proper divisors (36720331774272).

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

12764384051328 is a wasteful number, since it uses less digits than its factorization.

12764384051328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54851 (or 54817 counting only the distinct ones).

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

The spelling of 12764384051328 in words is "twelve trillion, seven hundred sixty-four billion, three hundred eighty-four million, fifty-one thousand, three hundred twenty-eight".