268728093504 has 672 divisors, whose sum is σ = 933540806016. Its totient is φ = 75883806720.

The previous prime is 268728093503. The next prime is 268728093559. The reversal of 268728093504 is 405390827862.

268728093504 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 280 + 9 + 350 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268728093503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140915719 + ... + 140917625.

It is an arithmetic number, because the mean of its divisors is an integer number (1389197628).

Almost surely, 2^268728093504 is an apocalyptic number.

268728093504 is a gapful number since it is divisible by the number (24) 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 268728093504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466770403008).

268728093504 is an abundant number, since it is smaller than the sum of its proper divisors (664812712512).

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

268728093504 is a wasteful number, since it uses less digits than its factorization.

268728093504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 268728093504 in words is "two hundred sixty-eight billion, seven hundred twenty-eight million, ninety-three thousand, five hundred four".