6306543402120 has 320 divisors, whose sum is σ = 22831434465840. Its totient is φ = 1552114483200.

The previous prime is 6306543402101. The next prime is 6306543402121. The reversal of 6306543402120 is 212043456036.

6306543402120 is a `hidden beast` number, since 6 + 3 + 0 + 6 + 5 + 434 + 0 + 212 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1903621759524 + 4402921642596 = 1379718^2 + 2098314^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6306543402121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 380798640 + ... + 380815200.

Almost surely, 2^{6306543402120} is an apocalyptic number.

6306543402120 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 6306543402120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11415717232920).

6306543402120 is an abundant number, since it is smaller than the sum of its proper divisors (16524891063720).

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

6306543402120 is a wasteful number, since it uses less digits than its factorization.

6306543402120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25638 (or 25625 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 6306543402120 its reverse (212043456036), we get a palindrome (6518586858156).

The spelling of 6306543402120 in words is "six trillion, three hundred six billion, five hundred forty-three million, four hundred two thousand, one hundred twenty".