1329077632 has 64 divisors (see below), whose sum is σ = 2852213760. Its totient is φ = 615098880.

The previous prime is 1329077591. The next prime is 1329077641. The reversal of 1329077632 is 2367709231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 83983 + ... + 98545.

It is an arithmetic number, because the mean of its divisors is an integer number (44565840).

Almost surely, 2^1329077632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1329077632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426106880).

1329077632 is an abundant number, since it is smaller than the sum of its proper divisors (1523136128).

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

1329077632 is a wasteful number, since it uses less digits than its factorization.

1329077632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14631 (or 14619 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

The square root of 1329077632 is about 36456.5170031368. The cubic root of 1329077632 is about 1099.4701668767.

The spelling of 1329077632 in words is "one billion, three hundred twenty-nine million, seventy-seven thousand, six hundred thirty-two".