268763140800 has 1344 divisors, whose sum is σ = 1250567577600. Its totient is φ = 54519091200.

The previous prime is 268763140777. The next prime is 268763140801. The reversal of 268763140800 is 8041367862.

268763140800 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 631 + 4 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is not an unprimeable number, because it can be changed into a prime (268763140801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 143034261 + ... + 143036139.

Almost surely, 2^268763140800 is an apocalyptic number.

268763140800 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 268763140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625283788800).

268763140800 is an abundant number, since it is smaller than the sum of its proper divisors (981804436800).

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

268763140800 is a wasteful number, since it uses less digits than its factorization.

268763140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 268763140800 in words is "two hundred sixty-eight billion, seven hundred sixty-three million, one hundred forty thousand, eight hundred".