268760075760 has 640 divisors, whose sum is σ = 1038726374400. Its totient is φ = 63309496320.

The previous prime is 268760075743. The next prime is 268760075783. The reversal of 268760075760 is 67570067862.

268760075760 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 60 + 0 + 7 + 576 + 0 = 666.

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 = 268760075697 and 268760075706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 238050876 + ... + 238052004.

It is an arithmetic number, because the mean of its divisors is an integer number (1623009960).

Almost surely, 2^268760075760 is an apocalyptic number.

268760075760 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 268760075760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519363187200).

268760075760 is an abundant number, since it is smaller than the sum of its proper divisors (769966298640).

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

268760075760 is a wasteful number, since it uses less digits than its factorization.

268760075760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 268760075760 in words is "two hundred sixty-eight billion, seven hundred sixty million, seventy-five thousand, seven hundred sixty".