6229319040 has 512 divisors, whose sum is σ = 25752960000. Its totient is φ = 1422489600.

The previous prime is 6229319023. The next prime is 6229319059. The reversal of 6229319040 is 409139226.

It is a super-3 number, since 3×6229319040³ (a number of 30 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6229318986 and 6229319004.

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 63 ways as a sum of consecutive naturals, for example, 5926515 + ... + 5927565.

It is an arithmetic number, because the mean of its divisors is an integer number (50298750).

Almost surely, 2^6229319040 is an apocalyptic number.

6229319040 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 6229319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12876480000).

6229319040 is an abundant number, since it is smaller than the sum of its proper divisors (19523640960).

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

6229319040 is a wasteful number, since it uses less digits than its factorization.

6229319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6229319040 is about 78926.0352481993. The cubic root of 6229319040 is about 1839.9817893598.

The spelling of 6229319040 in words is "six billion, two hundred twenty-nine million, three hundred nineteen thousand, forty".