6793164576900 has 729 divisors, whose sum is σ = 23778647657037. Its totient is φ = 1621370649600.

The previous prime is 6793164576799. The next prime is 6793164576931. The reversal of 6793164576900 is 96754613976.

The square root of 6793164576900 is 2606370.

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

6793164576900 is a `hidden beast` number, since 6 + 7 + 93 + 1 + 6 + 457 + 6 + 90 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 6156283966596 + 636880610304 = 2481186^2 + 798048^2 .

It is a super-2 number, since 2×6793164576900² (a number of 26 digits) contains 22 as substring.

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 242 ways as a sum of consecutive naturals, for example, 41675856219 + ... + 41675856381.

Almost surely, 2^{6793164576900} is an apocalyptic number.

6793164576900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6793164576900 is the 2606370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6793164576900

6793164576900 is an abundant number, since it is smaller than the sum of its proper divisors (16985483080137).

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

6793164576900 is a wasteful number, since it uses less digits than its factorization.

6793164576900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 6793164576900 in words is "six trillion, seven hundred ninety-three billion, one hundred sixty-four million, five hundred seventy-six thousand, nine hundred".