6300534240 has 1536 divisors, whose sum is σ = 31213486080. Its totient is φ = 1144627200.

The previous prime is 6300534199. The next prime is 6300534269. The reversal of 6300534240 is 424350036.

6300534240 is a `hidden beast` number, since 630 + 0 + 5 + 3 + 4 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 134053897 + ... + 134053943.

It is an arithmetic number, because the mean of its divisors is an integer number (20321280).

Almost surely, 2^6300534240 is an apocalyptic number.

6300534240 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 6300534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15606743040).

6300534240 is an abundant number, since it is smaller than the sum of its proper divisors (24912951840).

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

6300534240 is a wasteful number, since it uses less digits than its factorization.

6300534240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 6300534240 is about 79375.9046562620. The cubic root of 6300534240 is about 1846.9669550958.

Adding to 6300534240 its reverse (424350036), we get a palindrome (6724884276).

The spelling of 6300534240 in words is "six billion, three hundred million, five hundred thirty-four thousand, two hundred forty".