6508942720 has 256 divisors, whose sum is σ = 18401126400. Its totient is φ = 2155585536.

The previous prime is 6508942681. The next prime is 6508942777. The reversal of 6508942720 is 272498056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18757587 + ... + 18757933.

It is an arithmetic number, because the mean of its divisors is an integer number (71879400).

Almost surely, 2^6508942720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6508942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9200563200).

6508942720 is an abundant number, since it is smaller than the sum of its proper divisors (11892183680).

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

6508942720 is a wasteful number, since it uses less digits than its factorization.

6508942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 6508942720 is about 80678.0188155361. The cubic root of 6508942720 is about 1867.1110529294. Note that the first 3 decimals are identical.

The spelling of 6508942720 in words is "six billion, five hundred eight million, nine hundred forty-two thousand, seven hundred twenty".