268474144720 has 20 divisors (see below), whose sum is σ = 624202386660. Its totient is φ = 107389657856.

The previous prime is 268474144709. The next prime is 268474144739. The reversal of 268474144720 is 27441474862.

268474144720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 154754118544 + 113720026176 = 393388^2 + 337224^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×268474144720³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1677963325 + ... + 1677963484.

It is an arithmetic number, because the mean of its divisors is an integer number (31210119333).

Almost surely, 2^268474144720 is an apocalyptic number.

268474144720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268474144720 is an abundant number, since it is smaller than the sum of its proper divisors (355728241940).

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

268474144720 is a wasteful number, since it uses less digits than its factorization.

268474144720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355926822 (or 3355926816 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 49.

The spelling of 268474144720 in words is "two hundred sixty-eight billion, four hundred seventy-four million, one hundred forty-four thousand, seven hundred twenty".