268977076900 has 243 divisors, whose sum is σ = 704531721537. Its totient is φ = 88872436800.

The previous prime is 268977076889. The next prime is 268977076903. The reversal of 268977076900 is 9670779862.

The square root of 268977076900 is 518630.

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

268977076900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 96831747684 + 172145329216 = 311178^2 + 414904^2 .

It is a super-2 number, since 2×268977076900² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268977076903) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 1125426981 + ... + 1125427219.

Almost surely, 2^268977076900 is an apocalyptic number.

268977076900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

268977076900 is the 518630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268977076900

268977076900 is an abundant number, since it is smaller than the sum of its proper divisors (435554644637).

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

268977076900 is a wasteful number, since it uses less digits than its factorization.

268977076900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 61.

The spelling of 268977076900 in words is "two hundred sixty-eight billion, nine hundred seventy-seven million, seventy-six thousand, nine hundred".