268649063424 has 440 divisors, whose sum is σ = 928608285440. Its totient is φ = 75772329984.

The previous prime is 268649063399. The next prime is 268649063437. The reversal of 268649063424 is 424360946862.

268649063424 is a `hidden beast` number, since 26 + 86 + 490 + 6 + 34 + 24 = 666.

268649063424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 45865104 + ... + 45870960.

It is an arithmetic number, because the mean of its divisors is an integer number (2110473376).

Almost surely, 2^268649063424 is an apocalyptic number.

268649063424 is a gapful number since it is divisible by the number (24) 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 268649063424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464304142720).

268649063424 is an abundant number, since it is smaller than the sum of its proper divisors (659959222016).

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

268649063424 is an equidigital number, since it uses as much as digits as its factorization.

268649063424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5975 (or 5948 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 268649063424 in words is "two hundred sixty-eight billion, six hundred forty-nine million, sixty-three thousand, four hundred twenty-four".