268660279680 has 1024 divisors, whose sum is σ = 1017384883200. Its totient is φ = 59719680000.

The previous prime is 268660279651. The next prime is 268660279681. The reversal of 268660279680 is 86972066862.

268660279680 is digitally balanced in base 3, 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 (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268660279681) 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 127 ways as a sum of consecutive naturals, for example, 1070359555 + ... + 1070359805.

It is an arithmetic number, because the mean of its divisors is an integer number (993539925).

Almost surely, 2^268660279680 is an apocalyptic number.

268660279680 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 268660279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508692441600).

268660279680 is an abundant number, since it is smaller than the sum of its proper divisors (748724603520).

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

268660279680 is a wasteful number, since it uses less digits than its factorization.

268660279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 268660279680 in words is "two hundred sixty-eight billion, six hundred sixty million, two hundred seventy-nine thousand, six hundred eighty".