6520009680 has 160 divisors (see below), whose sum is σ = 23232441600. Its totient is φ = 1678699008.

The previous prime is 6520009669. The next prime is 6520009681. The reversal of 6520009680 is 869000256.

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 (6520009681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10597 + ... + 114683.

It is an arithmetic number, because the mean of its divisors is an integer number (145202760).

Almost surely, 2^6520009680 is an apocalyptic number.

6520009680 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 6520009680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11616220800).

6520009680 is an abundant number, since it is smaller than the sum of its proper divisors (16712431920).

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

6520009680 is a wasteful number, since it uses less digits than its factorization.

6520009680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104138 (or 104126 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6520009680 is about 80746.5768933891. The cubic root of 6520009680 is about 1868.1686513876.

The spelling of 6520009680 in words is "six billion, five hundred twenty million, nine thousand, six hundred eighty".