268191741600 has 432 divisors, whose sum is σ = 1003576392000. Its totient is φ = 67160678400.

The previous prime is 268191741589. The next prime is 268191741607. The reversal of 268191741600 is 6147191862.

268191741600 is a `hidden beast` number, since 26 + 8 + 1 + 9 + 17 + 4 + 1 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (268191741607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61075405 + ... + 61079795.

It is an arithmetic number, because the mean of its divisors is an integer number (2323093500).

Almost surely, 2^268191741600 is an apocalyptic number.

268191741600 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 268191741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501788196000).

268191741600 is an abundant number, since it is smaller than the sum of its proper divisors (735384650400).

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

268191741600 is a wasteful number, since it uses less digits than its factorization.

268191741600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4933 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 268191741600 in words is "two hundred sixty-eight billion, one hundred ninety-one million, seven hundred forty-one thousand, six hundred".