268122624000 has 832 divisors, whose sum is σ = 1112847869952. Its totient is φ = 55689216000.

The previous prime is 268122623981. The next prime is 268122624001. The reversal of 268122624000 is 426221862.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (268122624001) 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, 118270867 + ... + 118273133.

It is an arithmetic number, because the mean of its divisors is an integer number (1337557536).

Almost surely, 2^268122624000 is an apocalyptic number.

268122624000 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 268122624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556423934976).

268122624000 is an abundant number, since it is smaller than the sum of its proper divisors (844725245952).

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

268122624000 is a wasteful number, since it uses less digits than its factorization.

268122624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 268122624000 its reverse (426221862), we get a palindrome (268548845862).

The spelling of 268122624000 in words is "two hundred sixty-eight billion, one hundred twenty-two million, six hundred twenty-four thousand".