6313550040 has 288 divisors, whose sum is σ = 24210070560. Its totient is φ = 1422771840.

The previous prime is 6313550029. The next prime is 6313550041. The reversal of 6313550040 is 400553136.

6313550040 is a `hidden beast` number, since 63 + 13 + 550 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6313549986 and 6313550013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6313550041) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 88923205 + ... + 88923275.

It is an arithmetic number, because the mean of its divisors is an integer number (84062745).

Almost surely, 2^6313550040 is an apocalyptic number.

6313550040 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 6313550040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12105035280).

6313550040 is an abundant number, since it is smaller than the sum of its proper divisors (17896520520).

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

6313550040 is an equidigital number, since it uses as much as digits as its factorization.

6313550040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 6313550040 is about 79457.8507134443. The cubic root of 6313550040 is about 1848.2379170269.

The spelling of 6313550040 in words is "six billion, three hundred thirteen million, five hundred fifty thousand, forty".