1966333576536 has 192 divisors, whose sum is σ = 6213431016000. Its totient is φ = 561542671872.

The previous prime is 1966333576447. The next prime is 1966333576583. The reversal of 1966333576536 is 6356753336691.

1966333576536 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 3 + 3 + 3 + 576 + 53 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55227156 + ... + 55262748.

It is an arithmetic number, because the mean of its divisors is an integer number (32361619875).

Almost surely, 2^{1966333576536} 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 1966333576536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106715508000).

1966333576536 is an abundant number, since it is smaller than the sum of its proper divisors (4247097439464).

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

1966333576536 is a wasteful number, since it uses less digits than its factorization.

1966333576536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37863 (or 37842 counting only the distinct ones).

The product of its digits is 165337200, while the sum is 63.

The spelling of 1966333576536 in words is "one trillion, nine hundred sixty-six billion, three hundred thirty-three million, five hundred seventy-six thousand, five hundred thirty-six".