6517609920 has 448 divisors, whose sum is σ = 23793907200. Its totient is φ = 1699771392.

The previous prime is 6517609883. The next prime is 6517609927. The reversal of 6517609920 is 299067156.

It is a happy number.

6517609920 is a `hidden beast` number, since 6 + 5 + 17 + 609 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6517609927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46889211 + ... + 46889349.

It is an arithmetic number, because the mean of its divisors is an integer number (53111400).

Almost surely, 2^6517609920 is an apocalyptic number.

6517609920 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 6517609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11896953600).

6517609920 is an abundant number, since it is smaller than the sum of its proper divisors (17276297280).

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

6517609920 is an equidigital number, since it uses as much as digits as its factorization.

6517609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 6517609920 is about 80731.7157008322. The cubic root of 6517609920 is about 1867.9394233772.

The spelling of 6517609920 in words is "six billion, five hundred seventeen million, six hundred nine thousand, nine hundred twenty".