6400710240 has 96 divisors (see below), whose sum is σ = 20273906016. Its totient is φ = 1697402880.

The previous prime is 6400710229. The next prime is 6400710241. The reversal of 6400710240 is 420170046.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6400710240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6400710241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50044 + ... + 123716.

It is an arithmetic number, because the mean of its divisors is an integer number (211186521).

Almost surely, 2^6400710240 is an apocalyptic number.

6400710240 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 6400710240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10136953008).

6400710240 is an abundant number, since it is smaller than the sum of its proper divisors (13873195776).

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

6400710240 is a wasteful number, since it uses less digits than its factorization.

6400710240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73872 (or 73864 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 6400710240 is about 80004.4388768523. The cubic root of 6400710240 is about 1856.7042109475.

Adding to 6400710240 its reverse (420170046), we get a palindrome (6820880286).

It can be divided in two parts, 64007 and 10240, that added together give a palindrome (74247).

The spelling of 6400710240 in words is "six billion, four hundred million, seven hundred ten thousand, two hundred forty".