268688619936 has 240 divisors, whose sum is σ = 862634047968. Its totient is φ = 81364953600.

The previous prime is 268688619887. The next prime is 268688619937. The reversal of 268688619936 is 639916886862.

It is a super-2 number, since 2×268688619936² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (268688619937) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63323031 + ... + 63327273.

Almost surely, 2^268688619936 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 268688619936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431317023984).

268688619936 is an abundant number, since it is smaller than the sum of its proper divisors (593945428032).

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

268688619936 is a wasteful number, since it uses less digits than its factorization.

268688619936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6497 (or 6480 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 72.

The spelling of 268688619936 in words is "two hundred sixty-eight billion, six hundred eighty-eight million, six hundred nineteen thousand, nine hundred thirty-six".