6306937140 has 144 divisors (see below), whose sum is σ = 21300838272. Its totient is φ = 1365679872.

The previous prime is 6306937099. The next prime is 6306937141. The reversal of 6306937140 is 417396036.

It is a super-2 number, since 2×6306937140² = 79554912175822759200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6306937141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130822 + ... + 172418.

It is an arithmetic number, because the mean of its divisors is an integer number (147922488).

Almost surely, 2^6306937140 is an apocalyptic number.

6306937140 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 6306937140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10650419136).

6306937140 is an abundant number, since it is smaller than the sum of its proper divisors (14993901132).

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

6306937140 is a wasteful number, since it uses less digits than its factorization.

6306937140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41654 (or 41633 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 6306937140 is about 79416.2271831142. The cubic root of 6306937140 is about 1847.5924015791.

The spelling of 6306937140 in words is "six billion, three hundred six million, nine hundred thirty-seven thousand, one hundred forty".