1329685632 has 320 divisors, whose sum is σ = 4398688800. Its totient is φ = 395366400.

The previous prime is 1329685627. The next prime is 1329685663. The reversal of 1329685632 is 2365869231.

1329685632 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 6 + 8 + 5 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10150207 + ... + 10150337.

Almost surely, 2^1329685632 is an apocalyptic number.

1329685632 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 1329685632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199344400).

1329685632 is an abundant number, since it is smaller than the sum of its proper divisors (3069003168).

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

1329685632 is a wasteful number, since it uses less digits than its factorization.

1329685632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 236 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 1329685632 is about 36464.8547508419. The cubic root of 1329685632 is about 1099.6377958993.

The spelling of 1329685632 in words is "one billion, three hundred twenty-nine million, six hundred eighty-five thousand, six hundred thirty-two".