1327343576832 has 576 divisors, whose sum is σ = 4841827200000. Its totient is φ = 349284483072.

The previous prime is 1327343576813. The next prime is 1327343576833. The reversal of 1327343576832 is 2386753437231.

1327343576832 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 34 + 3 + 576 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327343576833) 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 63 ways as a sum of consecutive naturals, for example, 313864894 + ... + 313869122.

It is an arithmetic number, because the mean of its divisors is an integer number (8405950000).

Almost surely, 2^{1327343576832} is an apocalyptic number.

1327343576832 is a gapful number since it is divisible by the number (12) 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 1327343576832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420913600000).

1327343576832 is an abundant number, since it is smaller than the sum of its proper divisors (3514483623168).

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

1327343576832 is a wasteful number, since it uses less digits than its factorization.

1327343576832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773 (or 4753 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 54.

The spelling of 1327343576832 in words is "one trillion, three hundred twenty-seven billion, three hundred forty-three million, five hundred seventy-six thousand, eight hundred thirty-two".