268720455360 has 224 divisors, whose sum is σ = 975725955072. Its totient is φ = 61380587520.

The previous prime is 268720455347. The next prime is 268720455401. The reversal of 268720455360 is 63554027862.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10625130 + ... + 10650390.

Almost surely, 2^268720455360 is an apocalyptic number.

268720455360 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 268720455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487862977536).

268720455360 is an abundant number, since it is smaller than the sum of its proper divisors (707005499712).

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

268720455360 is a wasteful number, since it uses less digits than its factorization.

268720455360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26871 (or 26861 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 268720455360 in words is "two hundred sixty-eight billion, seven hundred twenty million, four hundred fifty-five thousand, three hundred sixty".