6205681440 has 432 divisors, whose sum is σ = 25310775672. Its totient is φ = 1379524608.

The previous prime is 6205681397. The next prime is 6205681441. The reversal of 6205681440 is 441865026.

6205681440 is a `hidden beast` number, since 6 + 205 + 6 + 8 + 1 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5702666256 + 503015184 = 75516^2 + 22428^2 .

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 = 6205681395 and 6205681404.

It is not an unprimeable number, because it can be changed into a prime (6205681441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2609532 + ... + 2611908.

Almost surely, 2^6205681440 is an apocalyptic number.

6205681440 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 6205681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12655387836).

6205681440 is an abundant number, since it is smaller than the sum of its proper divisors (19105094232).

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

6205681440 is a wasteful number, since it uses less digits than its factorization.

6205681440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6205681440 is about 78776.1476590472. The cubic root of 6205681440 is about 1837.6515249195.

The spelling of 6205681440 in words is "six billion, two hundred five million, six hundred eighty-one thousand, four hundred forty".