268643381760 has 640 divisors, whose sum is σ = 1040615896320. Its totient is φ = 66109685760.

The previous prime is 268643381719. The next prime is 268643381827. The reversal of 268643381760 is 67183346862.

268643381760 is a `hidden beast` number, since 2 + 68 + 6 + 433 + 81 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 268643381697 and 268643381706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72781515 + ... + 72785205.

It is an arithmetic number, because the mean of its divisors is an integer number (1625962338).

Almost surely, 2^268643381760 is an apocalyptic number.

268643381760 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 268643381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520307948160).

268643381760 is an abundant number, since it is smaller than the sum of its proper divisors (771972514560).

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

268643381760 is an frugal number, since it uses more digits than its factorization.

268643381760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 268643381760 in words is "two hundred sixty-eight billion, six hundred forty-three million, three hundred eighty-one thousand, seven hundred sixty".