1327357808640 has 1040 divisors, whose sum is σ = 4916275288848. Its totient is φ = 342456532992.

The previous prime is 1327357808563. The next prime is 1327357808669. The reversal of 1327357808640 is 468087537231.

It is a happy number.

1327357808640 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 3 + 578 + 0 + 8 + 64 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 190626545664 + 1136731262976 = 436608^2 + 1066176^2 .

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 11746529224 + ... + 11746529336.

Almost surely, 2^{1327357808640} is an apocalyptic number.

1327357808640 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 1327357808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458137644424).

1327357808640 is an abundant number, since it is smaller than the sum of its proper divisors (3588917480208).

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

1327357808640 is an equidigital number, since it uses as much as digits as its factorization.

1327357808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 1327357808640 in words is "one trillion, three hundred twenty-seven billion, three hundred fifty-seven million, eight hundred eight thousand, six hundred forty".