6273484800 has 576 divisors, whose sum is σ = 23398502400. Its totient is φ = 1469644800.

The previous prime is 6273484783. The next prime is 6273484801. The reversal of 6273484800 is 84843726.

It is a super-2 number, since 2×6273484800² = 78713223071662080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6273484801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79411161 + ... + 79411239.

It is an arithmetic number, because the mean of its divisors is an integer number (40622400).

Almost surely, 2^6273484800 is an apocalyptic number.

6273484800 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 6273484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11699251200).

6273484800 is an abundant number, since it is smaller than the sum of its proper divisors (17125017600).

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

6273484800 is a wasteful number, since it uses less digits than its factorization.

6273484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 6273484800 is about 79205.3331537719. Note that the first 3 decimals coincide. The cubic root of 6273484800 is about 1844.3200320377.

The spelling of 6273484800 in words is "six billion, two hundred seventy-three million, four hundred eighty-four thousand, eight hundred".