268801763328 has 864 divisors, whose sum is σ = 955664498880. Its totient is φ = 75246796800.

The previous prime is 268801763311. The next prime is 268801763341. The reversal of 268801763328 is 823367108862.

268801763328 is a `hidden beast` number, since 2 + 68 + 80 + 176 + 332 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1780144053 + ... + 1780144203.

It is an arithmetic number, because the mean of its divisors is an integer number (1106093170).

Almost surely, 2^268801763328 is an apocalyptic number.

268801763328 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 268801763328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477832249440).

268801763328 is an abundant number, since it is smaller than the sum of its proper divisors (686862735552).

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

268801763328 is an equidigital number, since it uses as much as digits as its factorization.

268801763328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 268801763328 in words is "two hundred sixty-eight billion, eight hundred one million, seven hundred sixty-three thousand, three hundred twenty-eight".