1329603593968 has 80 divisors (see below), whose sum is σ = 2878991045280. Its totient is φ = 590632455168.

The previous prime is 1329603593933. The next prime is 1329603594061. The reversal of 1329603593968 is 8693953069231.

It is a super-4 number, since 4×1329603593968⁴ (a number of 50 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1564471 + ... + 2259817.

It is an arithmetic number, because the mean of its divisors is an integer number (35987388066).

Almost surely, 2^{1329603593968} 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 1329603593968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439495522640).

1329603593968 is an abundant number, since it is smaller than the sum of its proper divisors (1549387451312).

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

1329603593968 is a wasteful number, since it uses less digits than its factorization.

1329603593968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695714 (or 695708 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 64.

The spelling of 1329603593968 in words is "one trillion, three hundred twenty-nine billion, six hundred three million, five hundred ninety-three thousand, nine hundred sixty-eight".