1809564456960 has 1152 divisors, whose sum is σ = 7130887021440. Its totient is φ = 421049401344.

The previous prime is 1809564456929. The next prime is 1809564456961. The reversal of 1809564456960 is 696544659081.

1809564456960 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 5 + 6 + 4 + 4 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×1809564456960³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1809564456961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2672916142 + ... + 2672916818.

It is an arithmetic number, because the mean of its divisors is an integer number (6190006095).

Almost surely, 2^{1809564456960} is an apocalyptic number.

1809564456960 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 1809564456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565443510720).

1809564456960 is an abundant number, since it is smaller than the sum of its proper divisors (5321322564480).

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

1809564456960 is a wasteful number, since it uses less digits than its factorization.

1809564456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 1809564456960 in words is "one trillion, eight hundred nine billion, five hundred sixty-four million, four hundred fifty-six thousand, nine hundred sixty".