234268577280 has 960 divisors, whose sum is σ = 899208161280. Its totient is φ = 56136499200.

The previous prime is 234268577269. The next prime is 234268577297. The reversal of 234268577280 is 82775862432.

234268577280 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 68 + 577 + 2 + 8 + 0 = 666.

234268577280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 827804019 + ... + 827804301.

It is an arithmetic number, because the mean of its divisors is an integer number (936675168).

Almost surely, 2^234268577280 is an apocalyptic number.

234268577280 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 234268577280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449604080640).

234268577280 is an abundant number, since it is smaller than the sum of its proper divisors (664939584000).

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

234268577280 is a wasteful number, since it uses less digits than its factorization.

234268577280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 234268577280 in words is "two hundred thirty-four billion, two hundred sixty-eight million, five hundred seventy-seven thousand, two hundred eighty".