6313235040 has 768 divisors, whose sum is σ = 27346636800. Its totient is φ = 1328431104.

The previous prime is 6313235029. The next prime is 6313235041. The reversal of 6313235040 is 405323136.

It is a happy number.

6313235040 is a `hidden beast` number, since 631 + 3 + 23 + 5 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6313234995 and 6313235013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6313235041) 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 127 ways as a sum of consecutive naturals, for example, 20169924 + ... + 20170236.

It is an arithmetic number, because the mean of its divisors is an integer number (35607600).

Almost surely, 2^6313235040 is an apocalyptic number.

6313235040 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 6313235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13673318400).

6313235040 is an abundant number, since it is smaller than the sum of its proper divisors (21033401760).

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

6313235040 is a wasteful number, since it uses less digits than its factorization.

6313235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 6313235040 is about 79455.8685057309. The cubic root of 6313235040 is about 1848.2071786614.

Adding to 6313235040 its reverse (405323136), we get a palindrome (6718558176).

The spelling of 6313235040 in words is "six billion, three hundred thirteen million, two hundred thirty-five thousand, forty".