268002302400 has 420 divisors, whose sum is σ = 1125842724688. Its totient is φ = 61257461760.

The previous prime is 268002302357. The next prime is 268002302401. The reversal of 268002302400 is 4203200862.

268002302400 is a `hidden beast` number, since 26 + 8 + 0 + 0 + 230 + 2 + 400 = 666.

268002302400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268002302401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 759492 + ... + 1054908.

Almost surely, 2^268002302400 is an apocalyptic number.

268002302400 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 268002302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562921362344).

268002302400 is an abundant number, since it is smaller than the sum of its proper divisors (857840422288).

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

268002302400 is a wasteful number, since it uses less digits than its factorization.

268002302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295458 (or 295434 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 268002302400 in words is "two hundred sixty-eight billion, two million, three hundred two thousand, four hundred".