6509088000 has 432 divisors, whose sum is σ = 23764615056. Its totient is φ = 1710489600.

The previous prime is 6509087999. The next prime is 6509088007. The reversal of 6509088000 is 8809056.

It can be written as a sum of positive squares in 8 ways, for example, as 3284665344 + 3224422656 = 57312^2 + 56784^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6509088007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27935884 + ... + 27936116.

It is an arithmetic number, because the mean of its divisors is an integer number (55010683).

Almost surely, 2^6509088000 is an apocalyptic number.

6509088000 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 6509088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11882307528).

6509088000 is an abundant number, since it is smaller than the sum of its proper divisors (17255527056).

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

6509088000 is a wasteful number, since it uses less digits than its factorization.

6509088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 6509088000 is about 80678.9191796717. The cubic root of 6509088000 is about 1867.1249441703.

The spelling of 6509088000 in words is "six billion, five hundred nine million, eighty-eight thousand".