6579802227600 has 960 divisors, whose sum is σ = 28205832806400. Its totient is φ = 1423164764160.

The previous prime is 6579802227541. The next prime is 6579802227617. The reversal of 6579802227600 is 67222089756.

6579802227600 is a `hidden beast` number, since 6 + 5 + 7 + 9 + 8 + 0 + 2 + 2 + 27 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1584347124 + ... + 1584351276.

It is an arithmetic number, because the mean of its divisors is an integer number (29381075840).

Almost surely, 2^{6579802227600} is an apocalyptic number.

6579802227600 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 6579802227600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14102916403200).

6579802227600 is an abundant number, since it is smaller than the sum of its proper divisors (21626030578800).

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

6579802227600 is a wasteful number, since it uses less digits than its factorization.

6579802227600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5309 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 6579802227600 in words is "six trillion, five hundred seventy-nine billion, eight hundred two million, two hundred twenty-seven thousand, six hundred".