6509828934 has 96 divisors (see below), whose sum is σ = 16290054144. Its totient is φ = 1840397760.

The previous prime is 6509828917. The next prime is 6509828957. The reversal of 6509828934 is 4398289056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5366112 + ... + 5367324.

It is an arithmetic number, because the mean of its divisors is an integer number (169688064).

Almost surely, 2^6509828934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6509828934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8145027072).

6509828934 is an abundant number, since it is smaller than the sum of its proper divisors (9780225210).

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

6509828934 is a wasteful number, since it uses less digits than its factorization.

6509828934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 6509828934 is about 80683.5109176590. The cubic root of 6509828934 is about 1867.1957868580.

The spelling of 6509828934 in words is "six billion, five hundred nine million, eight hundred twenty-eight thousand, nine hundred thirty-four".