1322065704960 has 3072 divisors, whose sum is σ = 6704803123200. Its totient is φ = 237817036800.

The previous prime is 1322065704941. The next prime is 1322065705003. The reversal of 1322065704960 is 694075602231.

1322065704960 is a `hidden beast` number, since 1 + 32 + 2 + 0 + 6 + 570 + 49 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4704860020 + ... + 4704860300.

It is an arithmetic number, because the mean of its divisors is an integer number (2182553100).

Almost surely, 2^{1322065704960} is an apocalyptic number.

1322065704960 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 1322065704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352401561600).

1322065704960 is an abundant number, since it is smaller than the sum of its proper divisors (5382737418240).

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

1322065704960 is a wasteful number, since it uses less digits than its factorization.

1322065704960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1322065704960 in words is "one trillion, three hundred twenty-two billion, sixty-five million, seven hundred four thousand, nine hundred sixty".