6508038960 has 200 divisors, whose sum is σ = 22891302720. Its totient is φ = 1713374208.

The previous prime is 6508038947. The next prime is 6508038967. The reversal of 6508038960 is 698308056.

6508038960 is a `hidden beast` number, since 6 + 508 + 0 + 3 + 89 + 60 = 666.

It is a super-2 number, since 2×6508038960² = 84709142209755763200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6508038967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 505564 + ... + 518276.

Almost surely, 2^6508038960 is an apocalyptic number.

6508038960 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 6508038960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11445651360).

6508038960 is an abundant number, since it is smaller than the sum of its proper divisors (16383263760).

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

6508038960 is a wasteful number, since it uses less digits than its factorization.

6508038960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12817 (or 12802 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6508038960 is about 80672.4175911445. The cubic root of 6508038960 is about 1867.0246334466.

The spelling of 6508038960 in words is "six billion, five hundred eight million, thirty-eight thousand, nine hundred sixty".