1327809896640 has 896 divisors, whose sum is σ = 4969361664000. Its totient is φ = 333268992000.

The previous prime is 1327809896627. The next prime is 1327809896663. The reversal of 1327809896640 is 466989087231.

1327809896640 is a `hidden beast` number, since 1 + 327 + 80 + 98 + 96 + 64 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1796765391 + ... + 1796766129.

Almost surely, 2^{1327809896640} is an apocalyptic number.

1327809896640 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 1327809896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484680832000).

1327809896640 is an abundant number, since it is smaller than the sum of its proper divisors (3641551767360).

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

1327809896640 is a wasteful number, since it uses less digits than its factorization.

1327809896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 1327809896640 in words is "one trillion, three hundred twenty-seven billion, eight hundred nine million, eight hundred ninety-six thousand, six hundred forty".