268406918000 has 320 divisors, whose sum is σ = 731905155072. Its totient is φ = 94459622400.

The previous prime is 268406917997. The next prime is 268406918011. The reversal of 268406918000 is 819604862.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219465389 + ... + 219466611.

Almost surely, 2^268406918000 is an apocalyptic number.

268406918000 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 268406918000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365952577536).

268406918000 is an abundant number, since it is smaller than the sum of its proper divisors (463498237072).

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

268406918000 is a wasteful number, since it uses less digits than its factorization.

268406918000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 268406918000 in words is "two hundred sixty-eight billion, four hundred six million, nine hundred eighteen thousand".