6269303040 has 864 divisors, whose sum is σ = 27480974976. Its totient is φ = 1197342720.

The previous prime is 6269303021. The next prime is 6269303041. The reversal of 6269303040 is 403039626.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 6269302992 and 6269303010.

It is not an unprimeable number, because it can be changed into a prime (6269303041) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 26906764 + ... + 26906996.

It is an arithmetic number, because the mean of its divisors is an integer number (31806684).

Almost surely, 2^6269303040 is an apocalyptic number.

6269303040 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 6269303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740487488).

6269303040 is an abundant number, since it is smaller than the sum of its proper divisors (21211671936).

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

6269303040 is a wasteful number, since it uses less digits than its factorization.

6269303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 6269303040 is about 79178.9305307921. The cubic root of 6269303040 is about 1843.9101472460.

The spelling of 6269303040 in words is "six billion, two hundred sixty-nine million, three hundred three thousand, forty".