1327800637800 has 2304 divisors, whose sum is σ = 6018814771200. Its totient is φ = 266411980800.

The previous prime is 1327800637783. The next prime is 1327800637903. The reversal of 1327800637800 is 87360087231.

1327800637800 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 8 + 0 + 0 + 637 + 8 + 0 + 0 = 666.

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 575 ways as a sum of consecutive naturals, for example, 6951835705 + ... + 6951835895.

It is an arithmetic number, because the mean of its divisors is an integer number (2612332800).

Almost surely, 2^{1327800637800} is an apocalyptic number.

1327800637800 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 1327800637800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009407385600).

1327800637800 is an abundant number, since it is smaller than the sum of its proper divisors (4691014133400).

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

1327800637800 is a wasteful number, since it uses less digits than its factorization.

1327800637800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1327800637800 in words is "one trillion, three hundred twenty-seven billion, eight hundred million, six hundred thirty-seven thousand, eight hundred".