268628639526720 has 1120 divisors, whose sum is σ = 1059756982986240. Its totient is φ = 64048339906560.

The previous prime is 268628639526719. The next prime is 268628639526733. The reversal of 268628639526720 is 27625936826862.

268628639526720 is a `hidden beast` number, since 2 + 6 + 8 + 6 + 28 + 6 + 3 + 9 + 526 + 72 + 0 = 666.

It is a super-2 number, since 2×268628639526720² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4240558087 + ... + 4240621433.

It is an arithmetic number, because the mean of its divisors is an integer number (946211591952).

Almost surely, 2^{268628639526720} is an apocalyptic number.

268628639526720 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 268628639526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529878491493120).

268628639526720 is an abundant number, since it is smaller than the sum of its proper divisors (791128343459520).

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

268628639526720 is a wasteful number, since it uses less digits than its factorization.

268628639526720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63633 (or 63614 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 268628639526720 in words is "two hundred sixty-eight trillion, six hundred twenty-eight billion, six hundred thirty-nine million, five hundred twenty-six thousand, seven hundred twenty".