268710480000 has 640 divisors, whose sum is σ = 1023242457600. Its totient is φ = 69327360000.

The previous prime is 268710479963. The next prime is 268710480023. The reversal of 268710480000 is 84017862.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66957994 + ... + 66962006.

It is an arithmetic number, because the mean of its divisors is an integer number (1598816340).

Almost surely, 2^268710480000 is an apocalyptic number.

268710480000 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 268710480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511621228800).

268710480000 is an abundant number, since it is smaller than the sum of its proper divisors (754531977600).

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

268710480000 is an equidigital number, since it uses as much as digits as its factorization.

268710480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 268710480000 its reverse (84017862), we get a palindrome (268794497862).

The spelling of 268710480000 in words is "two hundred sixty-eight billion, seven hundred ten million, four hundred eighty thousand".