1327363783200 has 1944 divisors, whose sum is σ = 6104181502692. Its totient is φ = 279353733120.

The previous prime is 1327363783177. The next prime is 1327363783217. The reversal of 1327363783200 is 23873637231.

1327363783200 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 3 + 637 + 8 + 3 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 345052857744 + 982310925456 = 587412^2 + 991116^2 .

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-2 number, since 2×1327363783200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 3343485402 + ... + 3343485798.

Almost surely, 2^{1327363783200} is an apocalyptic number.

1327363783200 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 1327363783200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052090751346).

1327363783200 is an abundant number, since it is smaller than the sum of its proper divisors (4776817719492).

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

1327363783200 is an equidigital number, since it uses as much as digits as its factorization.

1327363783200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 1327363783200 in words is "one trillion, three hundred twenty-seven billion, three hundred sixty-three million, seven hundred eighty-three thousand, two hundred".