6285340800 has 576 divisors, whose sum is σ = 23825037600. Its totient is φ = 1635655680.

The previous prime is 6285340769. The next prime is 6285340843. The reversal of 6285340800 is 80435826.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45878332 + ... + 45878468.

Almost surely, 2^6285340800 is an apocalyptic number.

6285340800 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 6285340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11912518800).

6285340800 is an abundant number, since it is smaller than the sum of its proper divisors (17539696800).

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

6285340800 is a wasteful number, since it uses less digits than its factorization.

6285340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6285340800 is about 79280.1412713171. The cubic root of 6285340800 is about 1845.4811356735.

The spelling of 6285340800 in words is "six billion, two hundred eighty-five million, three hundred forty thousand, eight hundred".