6205271040 has 264 divisors, whose sum is σ = 21620053728. Its totient is φ = 1645608960.

The previous prime is 6205270991. The next prime is 6205271057. The reversal of 6205271040 is 401725026.

6205271040 is a `hidden beast` number, since 620 + 5 + 27 + 10 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6205270995 and 6205271013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14330664 + ... + 14331096.

Almost surely, 2^6205271040 is an apocalyptic number.

6205271040 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 6205271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10810026864).

6205271040 is an abundant number, since it is smaller than the sum of its proper divisors (15414782688).

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

6205271040 is a wasteful number, since it uses less digits than its factorization.

6205271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 6205271040 is about 78773.5427665914. The cubic root of 6205271040 is about 1837.6110142563.

Adding to 6205271040 its reverse (401725026), we get a palindrome (6606996066).

The spelling of 6205271040 in words is "six billion, two hundred five million, two hundred seventy-one thousand, forty".