1329674088960 has 1280 divisors, whose sum is σ = 5761431244800. Its totient is φ = 283745452032.

The previous prime is 1329674088959. The next prime is 1329674088997. The reversal of 1329674088960 is 698804769231.

1329674088960 is a `hidden beast` number, since 1 + 3 + 2 + 96 + 7 + 408 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1143313339 + ... + 1143314501.

It is an arithmetic number, because the mean of its divisors is an integer number (4501118160).

Almost surely, 2^{1329674088960} is an apocalyptic number.

1329674088960 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 1329674088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880715622400).

1329674088960 is an abundant number, since it is smaller than the sum of its proper divisors (4431757155840).

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

1329674088960 is a wasteful number, since it uses less digits than its factorization.

1329674088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 1329674088960 in words is "one trillion, three hundred twenty-nine billion, six hundred seventy-four million, eighty-eight thousand, nine hundred sixty".