1327176744960 has 576 divisors, whose sum is σ = 4683845295360. Its totient is φ = 318221844480.

The previous prime is 1327176744937. The next prime is 1327176744983. The reversal of 1327176744960 is 694476717231.

It is an interprime number because it is at equal distance from previous prime (1327176744937) and next prime (1327176744983).

It is a super-2 number, since 2×1327176744960² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1327176744960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2357329639 + ... + 2357330201.

It is an arithmetic number, because the mean of its divisors is an integer number (8131675860).

Almost surely, 2^{1327176744960} is an apocalyptic number.

1327176744960 is a gapful number since it is divisible by the number (10) 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 1327176744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341922647680).

1327176744960 is an abundant number, since it is smaller than the sum of its proper divisors (3356668550400).

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

1327176744960 is an equidigital number, since it uses as much as digits as its factorization.

1327176744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 57.

The spelling of 1327176744960 in words is "one trillion, three hundred twenty-seven billion, one hundred seventy-six million, seven hundred forty-four thousand, nine hundred sixty".