268429075200 has 2592 divisors, whose sum is σ = 1255446646272. Its totient is φ = 55738368000.

The previous prime is 268429075181. The next prime is 268429075241. The reversal of 268429075200 is 2570924862.

268429075200 is a `hidden beast` number, since 26 + 84 + 29 + 0 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 287 ways as a sum of consecutive naturals, for example, 3780691165 + ... + 3780691235.

It is an arithmetic number, because the mean of its divisors is an integer number (484354416).

Almost surely, 2^268429075200 is an apocalyptic number.

268429075200 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 268429075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627723323136).

268429075200 is an abundant number, since it is smaller than the sum of its proper divisors (987017571072).

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

268429075200 is a wasteful number, since it uses less digits than its factorization.

268429075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 268429075200 in words is "two hundred sixty-eight billion, four hundred twenty-nine million, seventy-five thousand, two hundred".