1468768000 has 288 divisors, whose sum is σ = 4285532160. Its totient is φ = 491212800.

The previous prime is 1468767991. The next prime is 1468768009. The reversal of 1468768000 is 8678641.

It is an interprime number because it is at equal distance from previous prime (1468767991) and next prime (1468768009).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468768009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17695959 + ... + 17696041.

It is an arithmetic number, because the mean of its divisors is an integer number (14880320).

Almost surely, 2^1468768000 is an apocalyptic number.

1468768000 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 1468768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142766080).

1468768000 is an abundant number, since it is smaller than the sum of its proper divisors (2816764160).

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

1468768000 is an frugal number, since it uses more digits than its factorization.

1468768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 1468768000 is about 38324.5091292765. The cubic root of 1468768000 is about 1136.7136295023.

The spelling of 1468768000 in words is "one billion, four hundred sixty-eight million, seven hundred sixty-eight thousand".