6801465840 has 240 divisors, whose sum is σ = 23213916000. Its totient is φ = 1646161920.

The previous prime is 6801465829. The next prime is 6801465857. The reversal of 6801465840 is 485641086.

It is a Cunningham number, because it is equal to 82471²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 6801465792 and 6801465801.

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, 2472786 + ... + 2475534.

It is an arithmetic number, because the mean of its divisors is an integer number (96724650).

Almost surely, 2^6801465840 is an apocalyptic number.

6801465840 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 6801465840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11606958000).

6801465840 is an abundant number, since it is smaller than the sum of its proper divisors (16412450160).

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

6801465840 is a wasteful number, since it uses less digits than its factorization.

6801465840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 6801465840 is about 82470.9999939373. Note that the first 5 decimals coincide. The cubic root of 6801465840 is about 1894.6725963239.

The spelling of 6801465840 in words is "six billion, eight hundred one million, four hundred sixty-five thousand, eight hundred forty".