6273963287280 has 1440 divisors, whose sum is σ = 24531867360000. Its totient is φ = 1488507052032.

The previous prime is 6273963287243. The next prime is 6273963287287. The reversal of 6273963287280 is 827823693726.

It is a happy number.

6273963287280 is a `hidden beast` number, since 6 + 2 + 73 + 9 + 6 + 3 + 287 + 280 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6273963287287) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12573072471 + ... + 12573072969.

It is an arithmetic number, because the mean of its divisors is an integer number (17036019000).

Almost surely, 2^{6273963287280} is an apocalyptic number.

6273963287280 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 6273963287280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12265933680000).

6273963287280 is an abundant number, since it is smaller than the sum of its proper divisors (18257904072720).

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

6273963287280 is a wasteful number, since it uses less digits than its factorization.

6273963287280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 6273963287280 in words is "six trillion, two hundred seventy-three billion, nine hundred sixty-three million, two hundred eighty-seven thousand, two hundred eighty".