268775862878208 has 720 divisors, whose sum is σ = 868083576782688. Its totient is φ = 73690251264000.

The previous prime is 268775862878207. The next prime is 268775862878219. The reversal of 268775862878208 is 802878268577862.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is not an unprimeable number, because it can be changed into a prime (268775862878207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6023506138 + ... + 6023550758.

Almost surely, 2^{268775862878208} is an apocalyptic number.

268775862878208 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 268775862878208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434041788391344).

268775862878208 is an abundant number, since it is smaller than the sum of its proper divisors (599307713904480).

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

268775862878208 is an equidigital number, since it uses as much as digits as its factorization.

268775862878208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44768 (or 44735 counting only the distinct ones).

The product of its (nonzero) digits is 16184770560, while the sum is 84.

The spelling of 268775862878208 in words is "two hundred sixty-eight trillion, seven hundred seventy-five billion, eight hundred sixty-two million, eight hundred seventy-eight thousand, two hundred eight".