12327264768 has 480 divisors, whose sum is σ = 42241421376. Its totient is φ = 3164700672.

The previous prime is 12327264767. The next prime is 12327264821. The reversal of 12327264768 is 86746272321.

It is a super-2 number, since 2×12327264768² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1354752) is a multiple of the sum of its prime factors (384).

It is not an unprimeable number, because it can be changed into a prime (12327264767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42072430 + ... + 42072722.

Almost surely, 2^12327264768 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 12327264768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21120710688).

12327264768 is an abundant number, since it is smaller than the sum of its proper divisors (29914156608).

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

12327264768 is a wasteful number, since it uses less digits than its factorization.

12327264768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 361 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The spelling of 12327264768 in words is "twelve billion, three hundred twenty-seven million, two hundred sixty-four thousand, seven hundred sixty-eight".