268262237880 has 1920 divisors, whose sum is σ = 1239724569600. Its totient is φ = 50670157824.

The previous prime is 268262237839. The next prime is 268262237891. The reversal of 268262237880 is 88732262862.

It is a happy number.

268262237880 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 622 + 3 + 7 + 8 + 8 + 0 = 666.

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

It is a congruent number.

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 479 ways as a sum of consecutive naturals, for example, 1498671631 + ... + 1498671809.

It is an arithmetic number, because the mean of its divisors is an integer number (645689880).

Almost surely, 2^268262237880 is an apocalyptic number.

268262237880 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 268262237880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619862284800).

268262237880 is an abundant number, since it is smaller than the sum of its proper divisors (971462331720).

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

268262237880 is a wasteful number, since it uses less digits than its factorization.

268262237880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 268262237880 in words is "two hundred sixty-eight billion, two hundred sixty-two million, two hundred thirty-seven thousand, eight hundred eighty".