6284678400 has 1296 divisors, whose sum is σ = 30445134720. Its totient is φ = 1194393600.

The previous prime is 6284678369. The next prime is 6284678417. The reversal of 6284678400 is 48764826.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 57657546 + ... + 57657654.

Almost surely, 2^6284678400 is an apocalyptic number.

6284678400 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 6284678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222567360).

6284678400 is an abundant number, since it is smaller than the sum of its proper divisors (24160456320).

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

6284678400 is a wasteful number, since it uses less digits than its factorization.

6284678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 6284678400 is about 79275.9635703029. The cubic root of 6284678400 is about 1845.4163028246.

It can be divided in two parts, 62846 and 78400, that added together give a triangular number (141246 = T₅₃₁).

The spelling of 6284678400 in words is "six billion, two hundred eighty-four million, six hundred seventy-eight thousand, four hundred".