6205296960 has 252 divisors, whose sum is σ = 22317445332. Its totient is φ = 1582411776.

The previous prime is 6205296947. The next prime is 6205296961. The reversal of 6205296960 is 696925026.

6205296960 is a `hidden beast` number, since 6 + 2 + 0 + 529 + 69 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1367816256 + 4837480704 = 36984^2 + 69552^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6205296961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1521484 + ... + 1525556.

It is an arithmetic number, because the mean of its divisors is an integer number (88561291).

Almost surely, 2^6205296960 is an apocalyptic number.

6205296960 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 6205296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11158722666).

6205296960 is an abundant number, since it is smaller than the sum of its proper divisors (16112148372).

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

6205296960 is a wasteful number, since it uses less digits than its factorization.

6205296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 6205296960 is about 78773.7072886633. The cubic root of 6205296960 is about 1837.6135728774.

The spelling of 6205296960 in words is "six billion, two hundred five million, two hundred ninety-six thousand, nine hundred sixty".