268823672208 has 840 divisors, whose sum is σ = 991020013368. Its totient is φ = 69979521024.

The previous prime is 268823672177. The next prime is 268823672219. The reversal of 268823672208 is 802276328862.

It is a happy number.

268823672208 is a `hidden beast` number, since 268 + 82 + 36 + 72 + 208 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9958443264 + 258865228944 = 99792^2 + 508788^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 720706710 + ... + 720707082.

Almost surely, 2^268823672208 is an apocalyptic number.

268823672208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268823672208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495510006684).

268823672208 is an abundant number, since it is smaller than the sum of its proper divisors (722196341160).

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

268823672208 is a wasteful number, since it uses less digits than its factorization.

268823672208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 268823672208 in words is "two hundred sixty-eight billion, eight hundred twenty-three million, six hundred seventy-two thousand, two hundred eight".