1327876077906 has 120 divisors (see below), whose sum is σ = 3461758654860. Its totient is φ = 379333015488.

The previous prime is 1327876077889. The next prime is 1327876077947. The reversal of 1327876077906 is 6097706787231.

1327876077906 is a `hidden beast` number, since 13 + 2 + 7 + 8 + 7 + 607 + 7 + 9 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1311082250625 + 16793827281 = 1145025^2 + 129591^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 82015260 + ... + 82031448.

Almost surely, 2^{1327876077906} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327876077906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730879327430).

1327876077906 is an abundant number, since it is smaller than the sum of its proper divisors (2133882576954).

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

1327876077906 is a wasteful number, since it uses less digits than its factorization.

1327876077906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26550 (or 26534 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 63.

The spelling of 1327876077906 in words is "one trillion, three hundred twenty-seven billion, eight hundred seventy-six million, seventy-seven thousand, nine hundred six".