1001066673700 has 36 divisors (see below), whose sum is σ = 2172440924500. Its totient is φ = 400403399040.

The previous prime is 1001066673689. The next prime is 1001066673727. The reversal of 1001066673700 is 73766601001.

It can be written as a sum of positive squares in 6 ways, for example, as 200582162496 + 800484511204 = 447864^2 + 894698^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1001066673700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1492894 + ... + 2056906.

Almost surely, 2^{1001066673700} is an apocalyptic number.

1001066673700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001066673700 is an abundant number, since it is smaller than the sum of its proper divisors (1171374250800).

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

1001066673700 is a wasteful number, since it uses less digits than its factorization.

1001066673700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581776 (or 581769 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The spelling of 1001066673700 in words is "one trillion, one billion, sixty-six million, six hundred seventy-three thousand, seven hundred".