6258240000 has 600 divisors, whose sum is σ = 23556625092. Its totient is φ = 1597440000.

The previous prime is 6258239983. The next prime is 6258240029. The reversal of 6258240000 is 428526.

6258240000 is a `hidden beast` number, since 6 + 258 + 2 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 1191078144 + 5067161856 = 34512^2 + 71184^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 118079974 + ... + 118080026.

Almost surely, 2^6258240000 is an apocalyptic number.

6258240000 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 6258240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11778312546).

6258240000 is an abundant number, since it is smaller than the sum of its proper divisors (17298385092).

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

6258240000 is an equidigital number, since it uses as much as digits as its factorization.

6258240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 6258240000 is about 79109.0386744776. The cubic root of 6258240000 is about 1842.8248983516.

Adding to 6258240000 its reverse (428526), we get a palindrome (6258668526).

The spelling of 6258240000 in words is "six billion, two hundred fifty-eight million, two hundred forty thousand".