268704158976 has 864 divisors, whose sum is σ = 925674946560. Its totient is φ = 76988620800.

The previous prime is 268704158969. The next prime is 268704158977. The reversal of 268704158976 is 679851407862.

268704158976 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 0 + 41 + 589 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268704158977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1124285065 + ... + 1124285303.

It is an arithmetic number, because the mean of its divisors is an integer number (1071383040).

Almost surely, 2^268704158976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268704158976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462837473280).

268704158976 is an abundant number, since it is smaller than the sum of its proper divisors (656970787584).

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

268704158976 is a wasteful number, since it uses less digits than its factorization.

268704158976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 268704158976 in words is "two hundred sixty-eight billion, seven hundred four million, one hundred fifty-eight thousand, nine hundred seventy-six".