268273716480 has 864 divisors, whose sum is σ = 1164807641088. Its totient is φ = 55380787200.

The previous prime is 268273716439. The next prime is 268273716493. The reversal of 268273716480 is 84617372862.

268273716480 is a `hidden beast` number, since 2 + 6 + 82 + 73 + 7 + 16 + 480 = 666.

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 95 ways as a sum of consecutive naturals, for example, 148134775 + ... + 148136585.

It is an arithmetic number, because the mean of its divisors is an integer number (1348156992).

Almost surely, 2^268273716480 is an apocalyptic number.

268273716480 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 268273716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582403820544).

268273716480 is an abundant number, since it is smaller than the sum of its proper divisors (896533924608).

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

268273716480 is a wasteful number, since it uses less digits than its factorization.

268273716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 268273716480 in words is "two hundred sixty-eight billion, two hundred seventy-three million, seven hundred sixteen thousand, four hundred eighty".