1966324896000 has 864 divisors, whose sum is σ = 7724225308800. Its totient is φ = 496718438400.

The previous prime is 1966324895993. The next prime is 1966324896031. The reversal of 1966324896000 is 6984236691.

1966324896000 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 3 + 24 + 8 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147737346 + ... + 147750654.

Almost surely, 2^{1966324896000} is an apocalyptic number.

1966324896000 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 1966324896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862112654400).

1966324896000 is an abundant number, since it is smaller than the sum of its proper divisors (5757900412800).

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

1966324896000 is an equidigital number, since it uses as much as digits as its factorization.

1966324896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13374 (or 13338 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 1966324896000 in words is "one trillion, nine hundred sixty-six billion, three hundred twenty-four million, eight hundred ninety-six thousand".