6578908128 has 288 divisors, whose sum is σ = 21081295872. Its totient is φ = 2006208000.

The previous prime is 6578908123. The next prime is 6578908157. The reversal of 6578908128 is 8218098756.

It is a tau number, because it is divible by the number of its divisors (288).

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 (6578908123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15264073 + ... + 15264503.

It is an arithmetic number, because the mean of its divisors is an integer number (73198944).

Almost surely, 2^6578908128 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 6578908128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10540647936).

6578908128 is an abundant number, since it is smaller than the sum of its proper divisors (14502387744).

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

6578908128 is a wasteful number, since it uses less digits than its factorization.

6578908128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 6578908128 is about 81110.4686708196. The cubic root of 6578908128 is about 1873.7771584980. Note that the first 3 decimals are identical.

The spelling of 6578908128 in words is "six billion, five hundred seventy-eight million, nine hundred eight thousand, one hundred twenty-eight".