6675350668900 has 81 divisors (see below), whose sum is σ = 14655146525131. Its totient is φ = 2639229239680.

The previous prime is 6675350668879. The next prime is 6675350668967. The reversal of 6675350668900 is 98660535766.

It is a happy number.

The square root of 6675350668900 is 2583670.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1389140389924 + 5286210278976 = 1178618^2 + 2299176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2299464849 + ... + 2299467751.

Almost surely, 2^{6675350668900} is an apocalyptic number.

6675350668900 is the 2583670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6675350668900

6675350668900 is an abundant number, since it is smaller than the sum of its proper divisors (7979795856231).

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

6675350668900 is an frugal number, since it uses more digits than its factorization.

6675350668900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5998 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 61.

The spelling of 6675350668900 in words is "six trillion, six hundred seventy-five billion, three hundred fifty million, six hundred sixty-eight thousand, nine hundred".