268873862400 has 2268 divisors, whose sum is σ = 1216704375936. Its totient is φ = 58226688000.

The previous prime is 268873862399. The next prime is 268873862407. The reversal of 268873862400 is 4268378862.

268873862400 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 7 + 3 + 8 + 624 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268873862407) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 8673350385 + ... + 8673350415.

Almost surely, 2^268873862400 is an apocalyptic number.

268873862400 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 268873862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608352187968).

268873862400 is an abundant number, since it is smaller than the sum of its proper divisors (947830513536).

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

268873862400 is a wasteful number, since it uses less digits than its factorization.

268873862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 268873862400 in words is "two hundred sixty-eight billion, eight hundred seventy-three million, eight hundred sixty-two thousand, four hundred".