1327746200000 has 168 divisors, whose sum is σ = 3592611964368. Its totient is φ = 482816000000.

The previous prime is 1327746199987. The next prime is 1327746200047. The reversal of 1327746200000 is 26477231.

It is a super-2 number, since 2×1327746200000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1327746200000.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1898240 + ... + 2501760.

It is an arithmetic number, because the mean of its divisors is an integer number (21384595026).

Almost surely, 2^{1327746200000} is an apocalyptic number.

1327746200000 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 1327746200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796305982184).

1327746200000 is an abundant number, since it is smaller than the sum of its proper divisors (2264865764368).

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

1327746200000 is an frugal number, since it uses more digits than its factorization.

1327746200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603569 (or 603539 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The spelling of 1327746200000 in words is "one trillion, three hundred twenty-seven billion, seven hundred forty-six million, two hundred thousand".