1327946076160 has 468 divisors, whose sum is σ = 3665244102156. Its totient is φ = 461438320640.

The previous prime is 1327946076133. The next prime is 1327946076199. The reversal of 1327946076160 is 616706497231.

It can be written as a sum of positive squares in 2 ways, for example, as 151016177664 + 1176929898496 = 388608^2 + 1084864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1327946076098 and 1327946076107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1310903814 + ... + 1310904826.

It is an arithmetic number, because the mean of its divisors is an integer number (7831718167).

Almost surely, 2^{1327946076160} is an apocalyptic number.

1327946076160 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 1327946076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832622051078).

1327946076160 is an abundant number, since it is smaller than the sum of its proper divisors (2337298025996).

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

1327946076160 is a wasteful number, since it uses less digits than its factorization.

1327946076160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 1327946076160 in words is "one trillion, three hundred twenty-seven billion, nine hundred forty-six million, seventy-six thousand, one hundred sixty".