268319684160 has 896 divisors, whose sum is σ = 1095816960000. Its totient is φ = 61123092480.

The previous prime is 268319684137. The next prime is 268319684177. The reversal of 268319684160 is 61486913862.

268319684160 is a `hidden beast` number, since 268 + 319 + 6 + 8 + 4 + 1 + 60 = 666.

268319684160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 268319684097 and 268319684106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 251000106 + ... + 251001174.

It is an arithmetic number, because the mean of its divisors is an integer number (1223010000).

Almost surely, 2^268319684160 is an apocalyptic number.

268319684160 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 268319684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547908480000).

268319684160 is an abundant number, since it is smaller than the sum of its proper divisors (827497275840).

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

268319684160 is a wasteful number, since it uses less digits than its factorization.

268319684160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 268319684160 in words is "two hundred sixty-eight billion, three hundred nineteen million, six hundred eighty-four thousand, one hundred sixty".