6285399120 has 1920 divisors, whose sum is σ = 32757903360. Its totient is φ = 1074954240.

The previous prime is 6285399119. The next prime is 6285399121. The reversal of 6285399120 is 219935826.

6285399120 is a `hidden beast` number, since 6 + 2 + 8 + 539 + 91 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (6285399119) and next prime (6285399121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6285399121) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 330810471 + ... + 330810489.

It is an arithmetic number, because the mean of its divisors is an integer number (17061408).

Almost surely, 2^6285399120 is an apocalyptic number.

6285399120 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 6285399120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16378951680).

6285399120 is an abundant number, since it is smaller than the sum of its proper divisors (26472504240).

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

6285399120 is a wasteful number, since it uses less digits than its factorization.

6285399120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 6285399120 is about 79280.5090801011. The cubic root of 6285399120 is about 1845.4868435648.

The spelling of 6285399120 in words is "six billion, two hundred eighty-five million, three hundred ninety-nine thousand, one hundred twenty".