6430018140 has 864 divisors, whose sum is σ = 26546817024. Its totient is φ = 1293304320.

The previous prime is 6430018129. The next prime is 6430018163. The reversal of 6430018140 is 418100346.

6430018140 is a `hidden beast` number, since 643 + 0 + 0 + 1 + 8 + 14 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 95970387 + ... + 95970453.

Almost surely, 2^6430018140 is an apocalyptic number.

6430018140 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 6430018140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13273408512).

6430018140 is an abundant number, since it is smaller than the sum of its proper divisors (20116798884).

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

6430018140 is a wasteful number, since it uses less digits than its factorization.

6430018140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6430018140 is about 80187.3938970459. The cubic root of 6430018140 is about 1859.5337541037.

Adding to 6430018140 its reverse (418100346), we get a palindrome (6848118486).

The spelling of 6430018140 in words is "six billion, four hundred thirty million, eighteen thousand, one hundred forty".