6660993192100 has 81 divisors (see below), whose sum is σ = 15652545857193. Its totient is φ = 2459319757440.

The previous prime is 6660993192089. The next prime is 6660993192101. The reversal of 6660993192100 is 12913990666.

The square root of 6660993192100 is 2580890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 6568630688356 + 92362503744 = 2562934^2 + 303912^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6660993192101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 335505774 + ... + 335525626.

Almost surely, 2^{6660993192100} is an apocalyptic number.

6660993192100 is the 2580890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6660993192100

6660993192100 is an abundant number, since it is smaller than the sum of its proper divisors (8991552665093).

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

6660993192100 is an equidigital number, since it uses as much as digits as its factorization.

6660993192100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39746 (or 19873 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 52.

The spelling of 6660993192100 in words is "six trillion, six hundred sixty billion, nine hundred ninety-three million, one hundred ninety-two thousand, one hundred".