268382822400 has 2016 divisors, whose sum is σ = 1257509799936. Its totient is φ = 53084160000.

The previous prime is 268382822363. The next prime is 268382822413. The reversal of 268382822400 is 4228283862.

268382822400 is a `hidden beast` number, since 26 + 8 + 382 + 8 + 2 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4399718370 + ... + 4399718430.

Almost surely, 2^268382822400 is an apocalyptic number.

268382822400 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 268382822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628754899968).

268382822400 is an abundant number, since it is smaller than the sum of its proper divisors (989126977536).

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

268382822400 is a wasteful number, since it uses less digits than its factorization.

268382822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 268382822400 in words is "two hundred sixty-eight billion, three hundred eighty-two million, eight hundred twenty-two thousand, four hundred".