268723564200 has 1536 divisors, whose sum is σ = 1196173440000. Its totient is φ = 53926871040.

The previous prime is 268723564199. The next prime is 268723564261. The reversal of 268723564200 is 2465327862.

268723564200 is a `hidden beast` number, since 2 + 6 + 87 + 2 + 3 + 564 + 2 + 0 + 0 = 666.

268723564200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1553315314 + ... + 1553315486.

It is an arithmetic number, because the mean of its divisors is an integer number (778758750).

Almost surely, 2^268723564200 is an apocalyptic number.

268723564200 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 268723564200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598086720000).

268723564200 is an abundant number, since it is smaller than the sum of its proper divisors (927449875800).

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

268723564200 is a wasteful number, since it uses less digits than its factorization.

268723564200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 268723564200 in words is "two hundred sixty-eight billion, seven hundred twenty-three million, five hundred sixty-four thousand, two hundred".