6801250560 has 288 divisors, whose sum is σ = 23970135168. Its totient is φ = 1632829440.

The previous prime is 6801250513. The next prime is 6801250567. The reversal of 6801250560 is 650521086.

It is not an unprimeable number, because it can be changed into a prime (6801250567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2045059 + ... + 2048381.

It is an arithmetic number, because the mean of its divisors is an integer number (83229636).

Almost surely, 2^6801250560 is an apocalyptic number.

6801250560 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 6801250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11985067584).

6801250560 is an abundant number, since it is smaller than the sum of its proper divisors (17168884608).

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

6801250560 is a wasteful number, since it uses less digits than its factorization.

6801250560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 6801250560 is about 82469.6947975437. The cubic root of 6801250560 is about 1894.6526060537.

The spelling of 6801250560 in words is "six billion, eight hundred one million, two hundred fifty thousand, five hundred sixty".