269383728768 has 384 divisors, whose sum is σ = 920842715520. Its totient is φ = 68259840000.

The previous prime is 269383728763. The next prime is 269383728799. The reversal of 269383728768 is 867827383962.

It is a happy number.

269383728768 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 (384).

It is not an unprimeable number, because it can be changed into a prime (269383728763) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13325068 + ... + 13345268.

It is an arithmetic number, because the mean of its divisors is an integer number (2398027905).

Almost surely, 2^269383728768 is an apocalyptic number.

269383728768 is a gapful number since it is divisible by the number (28) 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 269383728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460421357760).

269383728768 is an abundant number, since it is smaller than the sum of its proper divisors (651458986752).

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

269383728768 is a wasteful number, since it uses less digits than its factorization.

269383728768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20288 (or 20265 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 69.

It can be divided in two parts, 269383728 and 768, that multiplied together give a square (206886703104 = 454848²).

The spelling of 269383728768 in words is "two hundred sixty-nine billion, three hundred eighty-three million, seven hundred twenty-eight thousand, seven hundred sixty-eight".