268278736780800 has 240 divisors, whose sum is σ = 984713378528880. Its totient is φ = 71540996382720.

The previous prime is 268278736780781. The next prime is 268278736780819. The reversal of 268278736780800 is 8087637872862.

It is an interprime number because it is at equal distance from previous prime (268278736780781) and next prime (268278736780819).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387789147 + ... + 388480346.

It is an arithmetic number, because the mean of its divisors is an integer number (4102972410537).

Almost surely, 2^{268278736780800} is an apocalyptic number.

268278736780800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268278736780800 is an abundant number, since it is smaller than the sum of its proper divisors (716434641748080).

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

268278736780800 is an equidigital number, since it uses as much as digits as its factorization.

268278736780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776269530 (or 776269503 counting only the distinct ones).

The product of its (nonzero) digits is 606928896, while the sum is 72.

The spelling of 268278736780800 in words is "two hundred sixty-eight trillion, two hundred seventy-eight billion, seven hundred thirty-six million, seven hundred eighty thousand, eight hundred".