6468594240 has 224 divisors, whose sum is σ = 20960096256. Its totient is φ = 1689845760.

The previous prime is 6468594203. The next prime is 6468594257. The reversal of 6468594240 is 424958646.

It is a super-2 number, since 2×6468594240² = 83685422883522355200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6468594240.

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 31 ways as a sum of consecutive naturals, for example, 16889089 + ... + 16889471.

Almost surely, 2^6468594240 is an apocalyptic number.

6468594240 is a gapful number since it is divisible by the number (60) 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 6468594240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10480048128).

6468594240 is an abundant number, since it is smaller than the sum of its proper divisors (14491502016).

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

6468594240 is a wasteful number, since it uses less digits than its factorization.

6468594240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The square root of 6468594240 is about 80427.5713919052. The cubic root of 6468594240 is about 1863.2450232635.

The spelling of 6468594240 in words is "six billion, four hundred sixty-eight million, five hundred ninety-four thousand, two hundred forty".