268084001568 has 96 divisors (see below), whose sum is σ = 714330150912. Its totient is φ = 88016544000.

The previous prime is 268084001561. The next prime is 268084001579. The reversal of 268084001568 is 865100480862.

It is a happy number.

268084001568 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 (96).

It is a super-2 number, since 2×268084001568² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (268084001561) 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 15 ways as a sum of consecutive naturals, for example, 7144905 + ... + 7182327.

It is an arithmetic number, because the mean of its divisors is an integer number (7440939072).

Almost surely, 2^268084001568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268084001568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357165075456).

268084001568 is an abundant number, since it is smaller than the sum of its proper divisors (446246149344).

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

268084001568 is a wasteful number, since it uses less digits than its factorization.

268084001568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38558 (or 38550 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 268084001568 in words is "two hundred sixty-eight billion, eighty-four million, one thousand, five hundred sixty-eight".