6273820800 has 432 divisors, whose sum is σ = 24259733550. Its totient is φ = 1543127040.

The previous prime is 6273820799. The next prime is 6273820831. The reversal of 6273820800 is 80283726.

It is a happy number.

6273820800 is a `hidden beast` number, since 627 + 3 + 8 + 20 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 4981824 + 6268838976 = 2232^2 + 79176^2 .

It is a super-3 number, since 3×6273820800³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4866556 + ... + 4867844.

Almost surely, 2^6273820800 is an apocalyptic number.

6273820800 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 6273820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12129866775).

6273820800 is an abundant number, since it is smaller than the sum of its proper divisors (17985912750).

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

6273820800 is a wasteful number, since it uses less digits than its factorization.

6273820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6273820800 is about 79207.4541946653. The cubic root of 6273820800 is about 1844.3529579413.

It can be divided in two parts, 62738 and 20800, that added together give a palindrome (83538).

The spelling of 6273820800 in words is "six billion, two hundred seventy-three million, eight hundred twenty thousand, eight hundred".