6509664000 has 432 divisors, whose sum is σ = 26778198720. Its totient is φ = 1487462400.

The previous prime is 6509663981. The next prime is 6509664037. The reversal of 6509664000 is 4669056.

It is a happy number.

6509664000 is a `hidden beast` number, since 6 + 5 + 0 + 9 + 6 + 640 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2014386 + ... + 2017614.

Almost surely, 2^6509664000 is an apocalyptic number.

6509664000 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 6509664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13389099360).

6509664000 is an abundant number, since it is smaller than the sum of its proper divisors (20268534720).

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

6509664000 is a wasteful number, since it uses less digits than its factorization.

6509664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6509664000 is about 80682.4888064318. The cubic root of 6509664000 is about 1867.1800175409.

The spelling of 6509664000 in words is "six billion, five hundred nine million, six hundred sixty-four thousand".