6345800556288 has 432 divisors, whose sum is σ = 18298133280000. Its totient is φ = 1951413960704.

The previous prime is 6345800556209. The next prime is 6345800556301. The reversal of 6345800556288 is 8826550085436.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7844005228 + ... + 7844006036.

It is an arithmetic number, because the mean of its divisors is an integer number (42356790000).

Almost surely, 2^{6345800556288} is an apocalyptic number.

6345800556288 is a gapful number since it is divisible by the number (68) 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 6345800556288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9149066640000).

6345800556288 is an abundant number, since it is smaller than the sum of its proper divisors (11952332723712).

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

6345800556288 is a wasteful number, since it uses less digits than its factorization.

6345800556288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 60.

The spelling of 6345800556288 in words is "six trillion, three hundred forty-five billion, eight hundred million, five hundred fifty-six thousand, two hundred eighty-eight".