6234288480 has 576 divisors, whose sum is σ = 25542107136. Its totient is φ = 1354752000.

The previous prime is 6234288451. The next prime is 6234288491. The reversal of 6234288480 is 848824326.

6234288480 is a `hidden beast` number, since 62 + 34 + 2 + 88 + 480 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22185940 + ... + 22186220.

It is an arithmetic number, because the mean of its divisors is an integer number (44343936).

Almost surely, 2^6234288480 is an apocalyptic number.

6234288480 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 6234288480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12771053568).

6234288480 is an abundant number, since it is smaller than the sum of its proper divisors (19307818656).

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

6234288480 is a wasteful number, since it uses less digits than its factorization.

6234288480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 6234288480 is about 78957.5105990557. The cubic root of 6234288480 is about 1840.4709412058.

The spelling of 6234288480 in words is "six billion, two hundred thirty-four million, two hundred eighty-eight thousand, four hundred eighty".