268176648096 has 960 divisors, whose sum is σ = 988467701760. Its totient is φ = 69672960000.

The previous prime is 268176648043. The next prime is 268176648109. The reversal of 268176648096 is 690846671862.

268176648096 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 7 + 66 + 480 + 96 = 666.

268176648096 is digitally balanced in base 2, 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 (63).

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 159 ways as a sum of consecutive naturals, for example, 668769496 + ... + 668769896.

It is an arithmetic number, because the mean of its divisors is an integer number (1029653856).

Almost surely, 2^268176648096 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 268176648096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494233850880).

268176648096 is an abundant number, since it is smaller than the sum of its proper divisors (720291053664).

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

268176648096 is a wasteful number, since it uses less digits than its factorization.

268176648096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 268176648096 in words is "two hundred sixty-eight billion, one hundred seventy-six million, six hundred forty-eight thousand, ninety-six".