6508778328 has 384 divisors, whose sum is σ = 20803910400. Its totient is φ = 1892491776.

The previous prime is 6508778327. The next prime is 6508778351. The reversal of 6508778328 is 8238778056.

It is a Cunningham number, because it is equal to 80677²-1.

It is a super-3 number, since 3×6508778328³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6508778323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60829651 + ... + 60829757.

It is an arithmetic number, because the mean of its divisors is an integer number (54176850).

Almost surely, 2^6508778328 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 6508778328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10401955200).

6508778328 is an abundant number, since it is smaller than the sum of its proper divisors (14295132072).

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

6508778328 is a wasteful number, since it uses less digits than its factorization.

6508778328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 6508778328 is about 80676.9999938024. Note that the first 5 decimals coincide. The cubic root of 6508778328 is about 1867.0953340066.

The spelling of 6508778328 in words is "six billion, five hundred eight million, seven hundred seventy-eight thousand, three hundred twenty-eight".