6508434240 has 672 divisors, whose sum is σ = 28970532864. Its totient is φ = 1351157760.

The previous prime is 6508434239. The next prime is 6508434253. The reversal of 6508434240 is 424348056.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 6508434195 and 6508434204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5986977 + ... + 5988063.

It is an arithmetic number, because the mean of its divisors is an integer number (43110912).

Almost surely, 2^6508434240 is an apocalyptic number.

6508434240 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 6508434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14485266432).

6508434240 is an abundant number, since it is smaller than the sum of its proper divisors (22462098624).

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

6508434240 is a wasteful number, since it uses less digits than its factorization.

6508434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 6508434240 is about 80674.8674619302. The cubic root of 6508434240 is about 1867.0624319581.

The spelling of 6508434240 in words is "six billion, five hundred eight million, four hundred thirty-four thousand, two hundred forty".