268222067820 has 192 divisors, whose sum is σ = 958674124800. Its totient is φ = 60986753280.

The previous prime is 268222067791. The next prime is 268222067891. The reversal of 268222067820 is 28760222862.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 536226 + ... + 907734.

It is an arithmetic number, because the mean of its divisors is an integer number (4993094400).

Almost surely, 2^268222067820 is an apocalyptic number.

268222067820 is a gapful number since it is divisible by the number (20) 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 268222067820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479337062400).

268222067820 is an abundant number, since it is smaller than the sum of its proper divisors (690452056980).

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

268222067820 is a wasteful number, since it uses less digits than its factorization.

268222067820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371725 (or 371717 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 268222067820 in words is "two hundred sixty-eight billion, two hundred twenty-two million, sixty-seven thousand, eight hundred twenty".