1323967680 has 280 divisors, whose sum is σ = 5383121568. Its totient is φ = 302579712.

The previous prime is 1323967679. The next prime is 1323967693. The reversal of 1323967680 is 867693231.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 177792 + ... + 185088.

Almost surely, 2^1323967680 is an apocalyptic number.

1323967680 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 1323967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691560784).

1323967680 is an abundant number, since it is smaller than the sum of its proper divisors (4059153888).

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

1323967680 is an equidigital number, since it uses as much as digits as its factorization.

1323967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7333 (or 7314 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1323967680 is about 36386.3666776445. The cubic root of 1323967680 is about 1098.0592998521.

The spelling of 1323967680 in words is "one billion, three hundred twenty-three million, nine hundred sixty-seven thousand, six hundred eighty".