6273732560 has 80 divisors (see below), whose sum is σ = 14724916176. Its totient is φ = 2485776384.

The previous prime is 6273732559. The next prime is 6273732583. The reversal of 6273732560 is 652373726.

It can be written as a sum of positive squares in 8 ways, for example, as 774620224 + 5499112336 = 27832^2 + 74156^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5739374 + ... + 5740466.

Almost surely, 2^6273732560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6273732560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7362458088).

6273732560 is an abundant number, since it is smaller than the sum of its proper divisors (8451183616).

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

6273732560 is a wasteful number, since it uses less digits than its factorization.

6273732560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 41.

The square root of 6273732560 is about 79206.8971744254. The cubic root of 6273732560 is about 1844.3443110857.

The spelling of 6273732560 in words is "six billion, two hundred seventy-three million, seven hundred thirty-two thousand, five hundred sixty".