6511000320 has 648 divisors, whose sum is σ = 25827027408. Its totient is φ = 1569300480.

The previous prime is 6511000319. The next prime is 6511000343. The reversal of 6511000320 is 230001156.

6511000320 is a `hidden beast` number, since 651 + 10 + 0 + 0 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 6511000293 and 6511000302.

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 71 ways as a sum of consecutive naturals, for example, 37635754 + ... + 37635926.

Almost surely, 2^6511000320 is an apocalyptic number.

6511000320 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 6511000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12913513704).

6511000320 is an abundant number, since it is smaller than the sum of its proper divisors (19316027088).

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

6511000320 is a wasteful number, since it uses less digits than its factorization.

6511000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 6511000320 is about 80690.7697323554. The cubic root of 6511000320 is about 1867.3077752502.

Adding to 6511000320 its reverse (230001156), we get a palindrome (6741001476).

The spelling of 6511000320 in words is "six billion, five hundred eleven million, three hundred twenty", and thus it is an aban number.