268468754400 has 2304 divisors, whose sum is σ = 1290157424640. Its totient is φ = 52254720000.

The previous prime is 268468754357. The next prime is 268468754459. The reversal of 268468754400 is 4457864862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 2113927137 + ... + 2113927263.

It is an arithmetic number, because the mean of its divisors is an integer number (559964160).

Almost surely, 2^268468754400 is an apocalyptic number.

268468754400 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 268468754400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645078712320).

268468754400 is an abundant number, since it is smaller than the sum of its proper divisors (1021688670240).

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

268468754400 is a wasteful number, since it uses less digits than its factorization.

268468754400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 268468754400 in words is "two hundred sixty-eight billion, four hundred sixty-eight million, seven hundred fifty-four thousand, four hundred".