268618109760 has 4032 divisors, whose sum is σ = 1434281022720. Its totient is φ = 46820229120.

The previous prime is 268618109741. The next prime is 268618109791. The reversal of 268618109760 is 67901816862.

268618109760 is a `hidden beast` number, since 2 + 6 + 8 + 618 + 10 + 9 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 = 268618109697 and 268618109706.

It is a congruent number.

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 9262693426 + ... + 9262693454.

It is an arithmetic number, because the mean of its divisors is an integer number (355724460).

Almost surely, 2^268618109760 is an apocalyptic number.

268618109760 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 268618109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717140511360).

268618109760 is an abundant number, since it is smaller than the sum of its proper divisors (1165662912960).

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

268618109760 is a wasteful number, since it uses less digits than its factorization.

268618109760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 268618109760 in words is "two hundred sixty-eight billion, six hundred eighteen million, one hundred nine thousand, seven hundred sixty".