1327733456 has 160 divisors (see below), whose sum is σ = 3273219072. Its totient is φ = 508723200.

The previous prime is 1327733437. The next prime is 1327733467. The reversal of 1327733456 is 6543377231.

It is a super-2 number, since 2×1327733456² = 3525752260363407872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3310856 + ... + 3311256.

Almost surely, 2^1327733456 is an apocalyptic number.

1327733456 is a gapful number since it is divisible by the number (16) 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 1327733456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636609536).

1327733456 is an abundant number, since it is smaller than the sum of its proper divisors (1945485616).

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

1327733456 is a wasteful number, since it uses less digits than its factorization.

1327733456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 511 counting only the distinct ones).

The product of its digits is 317520, while the sum is 41.

The square root of 1327733456 is about 36438.0770074382. The cubic root of 1327733456 is about 1099.0993884564.

The spelling of 1327733456 in words is "one billion, three hundred twenty-seven million, seven hundred thirty-three thousand, four hundred fifty-six".