1468575360 has 768 divisors, whose sum is σ = 6415718400. Its totient is φ = 313528320.

The previous prime is 1468575343. The next prime is 1468575371. The reversal of 1468575360 is 635758641.

1468575360 is a `hidden beast` number, since 1 + 4 + 68 + 57 + 536 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20684125 + ... + 20684195.

It is an arithmetic number, because the mean of its divisors is an integer number (8353800).

Almost surely, 2^1468575360 is an apocalyptic number.

1468575360 is a gapful number since it is divisible by the number (10) 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 1468575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207859200).

1468575360 is an abundant number, since it is smaller than the sum of its proper divisors (4947143040).

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

1468575360 is an equidigital number, since it uses as much as digits as its factorization.

1468575360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 1468575360 is about 38321.9957726630. The cubic root of 1468575360 is about 1136.6639311410.

The spelling of 1468575360 in words is "one billion, four hundred sixty-eight million, five hundred seventy-five thousand, three hundred sixty".