268475489280 has 704 divisors, whose sum is σ = 1054373345280. Its totient is φ = 64439451648.

The previous prime is 268475489279. The next prime is 268475489287. The reversal of 268475489280 is 82984574862.

268475489280 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 7 + 548 + 9 + 2 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268475489287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54049357 + ... + 54054323.

Almost surely, 2^268475489280 is an apocalyptic number.

268475489280 is a gapful number since it is divisible by the number (20) 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 268475489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527186672640).

268475489280 is an abundant number, since it is smaller than the sum of its proper divisors (785897856000).

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

268475489280 is a wasteful number, since it uses less digits than its factorization.

268475489280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 268475489280 in words is "two hundred sixty-eight billion, four hundred seventy-five million, four hundred eighty-nine thousand, two hundred eighty".