268705382400 has 1800 divisors, whose sum is σ = 1238922891360. Its totient is φ = 56056872960.

The previous prime is 268705382381. The next prime is 268705382423. The reversal of 268705382400 is 4283507862.

268705382400 is a `hidden beast` number, since 2 + 6 + 8 + 70 + 538 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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 119 ways as a sum of consecutive naturals, for example, 3019161556 + ... + 3019161644.

Almost surely, 2^268705382400 is an apocalyptic number.

268705382400 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 268705382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619461445680).

268705382400 is an abundant number, since it is smaller than the sum of its proper divisors (970217508960).

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

268705382400 is an equidigital number, since it uses as much as digits as its factorization.

268705382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 268705382400 in words is "two hundred sixty-eight billion, seven hundred five million, three hundred eighty-two thousand, four hundred".