6578409600 has 768 divisors, whose sum is σ = 28078560000. Its totient is φ = 1473085440.

The previous prime is 6578409599. The next prime is 6578409631. The reversal of 6578409600 is 69048756.

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

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, 44150326 + ... + 44150474.

It is an arithmetic number, because the mean of its divisors is an integer number (36560625).

Almost surely, 2^6578409600 is an apocalyptic number.

6578409600 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 6578409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14039280000).

6578409600 is an abundant number, since it is smaller than the sum of its proper divisors (21500150400).

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

6578409600 is a wasteful number, since it uses less digits than its factorization.

6578409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6578409600 is about 81107.3954704502. The cubic root of 6578409600 is about 1873.7298277476.

The spelling of 6578409600 in words is "six billion, five hundred seventy-eight million, four hundred nine thousand, six hundred".