6805272240 has 640 divisors, whose sum is σ = 26735788800. Its totient is φ = 1579253760.

The previous prime is 6805272217. The next prime is 6805272247. The reversal of 6805272240 is 422725086.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6805272195 and 6805272204.

It is not an unprimeable number, because it can be changed into a prime (6805272247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49673452 + ... + 49673588.

It is an arithmetic number, because the mean of its divisors is an integer number (41774670).

Almost surely, 2^6805272240 is an apocalyptic number.

6805272240 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 6805272240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13367894400).

6805272240 is an abundant number, since it is smaller than the sum of its proper divisors (19930516560).

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

6805272240 is a wasteful number, since it uses less digits than its factorization.

6805272240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 6805272240 is about 82494.0739689828. The cubic root of 6805272240 is about 1895.0259778349.

The spelling of 6805272240 in words is "six billion, eight hundred five million, two hundred seventy-two thousand, two hundred forty".