6405100320 has 96 divisors (see below), whose sum is σ = 20372107392. Its totient is φ = 1691430912.

The previous prime is 6405100313. The next prime is 6405100321. The reversal of 6405100320 is 230015046.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (6405100321) 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, 15337 + ... + 114216.

It is an arithmetic number, because the mean of its divisors is an integer number (212209452).

Almost surely, 2^6405100320 is an apocalyptic number.

6405100320 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 6405100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10186053696).

6405100320 is an abundant number, since it is smaller than the sum of its proper divisors (13967007072).

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

6405100320 is a wasteful number, since it uses less digits than its factorization.

6405100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129674 (or 129666 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 6405100320 is about 80031.8706516348. The cubic root of 6405100320 is about 1857.1286022462.

Adding to 6405100320 its reverse (230015046), we get a palindrome (6635115366).

The spelling of 6405100320 in words is "six billion, four hundred five million, one hundred thousand, three hundred twenty".