1006660061660 has 96 divisors (see below), whose sum is σ = 2336559486912. Its totient is φ = 361255403520.

The previous prime is 1006660061653. The next prime is 1006660061669. The reversal of 1006660061660 is 661600666001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006660061669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7466204 + ... + 7599836.

It is an arithmetic number, because the mean of its divisors is an integer number (24339161322).

Almost surely, 2^{1006660061660} is an apocalyptic number.

1006660061660 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 1006660061660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168279743456).

1006660061660 is an abundant number, since it is smaller than the sum of its proper divisors (1329899425252).

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

1006660061660 is a wasteful number, since it uses less digits than its factorization.

1006660061660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134103 (or 134101 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 1006660061660 in words is "one trillion, six billion, six hundred sixty million, sixty-one thousand, six hundred sixty".