6509630400 has 504 divisors, whose sum is σ = 26767505520. Its totient is φ = 1372815360.

The previous prime is 6509630381. The next prime is 6509630401. The reversal of 6509630400 is 40369056.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6509630401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3056536 + ... + 3058664.

It is an arithmetic number, because the mean of its divisors is an integer number (53110130).

Almost surely, 2^6509630400 is an apocalyptic number.

6509630400 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 6509630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13383752760).

6509630400 is an abundant number, since it is smaller than the sum of its proper divisors (20257875120).

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

6509630400 is a wasteful number, since it uses less digits than its factorization.

6509630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 6509630400 is about 80682.2805825418. The cubic root of 6509630400 is about 1867.1768050168.

Adding to 6509630400 its reverse (40369056), we get a palindrome (6549999456).

The spelling of 6509630400 in words is "six billion, five hundred nine million, six hundred thirty thousand, four hundred".