1066731724800 has 2016 divisors, whose sum is σ = 4742965002240. Its totient is φ = 234101145600.

The previous prime is 1066731724781. The next prime is 1066731724801. The reversal of 1066731724800 is 84271376601.

1066731724800 is a `hidden beast` number, since 10 + 6 + 67 + 31 + 72 + 480 + 0 = 666.

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

It is a super-2 number, since 2×1066731724800² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066731724801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8399462337 + ... + 8399462463.

Almost surely, 2^{1066731724800} is an apocalyptic number.

1066731724800 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 1066731724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371482501120).

1066731724800 is an abundant number, since it is smaller than the sum of its proper divisors (3676233277440).

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

1066731724800 is a wasteful number, since it uses less digits than its factorization.

1066731724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1066731724800 in words is "one trillion, sixty-six billion, seven hundred thirty-one million, seven hundred twenty-four thousand, eight hundred".