1327746672 has 240 divisors, whose sum is σ = 4481231040. Its totient is φ = 358944768.

The previous prime is 1327746659. The next prime is 1327746713. The reversal of 1327746672 is 2766477231.

It is a super-2 number, since 2×1327746672² = 3525822450014151168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1548868 + ... + 1549724.

It is an arithmetic number, because the mean of its divisors is an integer number (18671796).

Almost surely, 2^1327746672 is an apocalyptic number.

1327746672 is a gapful number since it is divisible by the number (12) 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 1327746672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240615520).

1327746672 is an abundant number, since it is smaller than the sum of its proper divisors (3153484368).

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

1327746672 is a wasteful number, since it uses less digits than its factorization.

1327746672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 951 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 1327746672 is about 36438.2583557447. The cubic root of 1327746672 is about 1099.1030351846.

The spelling of 1327746672 in words is "one billion, three hundred twenty-seven million, seven hundred forty-six thousand, six hundred seventy-two".