6306300000000 has 2916 divisors, whose sum is σ = 31061198940408. Its totient is φ = 1209600000000.

The previous prime is 6306299999971. The next prime is 6306300000037. The reversal of 6306300000000 is 36036.

6306300000000 is a `hidden beast` number, since 6 + 30 + 630 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 485099999994 + ... + 485100000006.

Almost surely, 2^{6306300000000} is an apocalyptic number.

6306300000000 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 6306300000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15530599470204).

6306300000000 is an abundant number, since it is smaller than the sum of its proper divisors (24754898940408).

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

6306300000000 is an frugal number, since it uses more digits than its factorization.

6306300000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 6306300000000 its reverse (36036), we get a palindrome (6306300036036).

The spelling of 6306300000000 in words is "six trillion, three hundred six billion, three hundred million", and thus it is an aban number.