1329322680 has 384 divisors, whose sum is σ = 5185814400. Its totient is φ = 288976896.

The previous prime is 1329322661. The next prime is 1329322681. The reversal of 1329322680 is 862239231.

1329322680 is a `hidden beast` number, since 1 + 329 + 322 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329322681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4941586 + ... + 4941854.

It is an arithmetic number, because the mean of its divisors is an integer number (13504725).

Almost surely, 2^1329322680 is an apocalyptic number.

1329322680 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 1329322680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592907200).

1329322680 is an abundant number, since it is smaller than the sum of its proper divisors (3856491720).

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

1329322680 is a wasteful number, since it uses less digits than its factorization.

1329322680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1329322680 is about 36459.8776739583. The cubic root of 1329322680 is about 1099.5377341385.

The spelling of 1329322680 in words is "one billion, three hundred twenty-nine million, three hundred twenty-two thousand, six hundred eighty".