1966447042560 has 2016 divisors, whose sum is σ = 9279450730368. Its totient is φ = 372013793280.

The previous prime is 1966447042541. The next prime is 1966447042657. The reversal of 1966447042560 is 652407446691.

1966447042560 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 4 + 4 + 70 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a junction number, because it is equal to n+sod(n) for n = 1966447042497 and 1966447042506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26937630684 + ... + 26937630756.

It is an arithmetic number, because the mean of its divisors is an integer number (4602902148).

Almost surely, 2^{1966447042560} is an apocalyptic number.

1966447042560 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 1966447042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4639725365184).

1966447042560 is an abundant number, since it is smaller than the sum of its proper divisors (7313003687808).

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

1966447042560 is a wasteful number, since it uses less digits than its factorization.

1966447042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 1966447042560 in words is "one trillion, nine hundred sixty-six billion, four hundred forty-seven million, forty-two thousand, five hundred sixty".