6300213903360 has 2040 divisors, whose sum is σ = 26457604089840. Its totient is φ = 1421806141440.

The previous prime is 6300213903353. The next prime is 6300213903383. The reversal of 6300213903360 is 633093120036.

6300213903360 is a `hidden beast` number, since 6 + 300 + 2 + 13 + 9 + 0 + 336 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 203232706545 + ... + 203232706575.

Almost surely, 2^{6300213903360} is an apocalyptic number.

6300213903360 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 6300213903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13228802044920).

6300213903360 is an abundant number, since it is smaller than the sum of its proper divisors (20157390186480).

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

6300213903360 is an equidigital number, since it uses as much as digits as its factorization.

6300213903360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The spelling of 6300213903360 in words is "six trillion, three hundred billion, two hundred thirteen million, nine hundred three thousand, three hundred sixty".