6353303040 has 480 divisors, whose sum is σ = 26095829760. Its totient is φ = 1451188224.

The previous prime is 6353303023. The next prime is 6353303059. The reversal of 6353303040 is 403033536.

6353303040 is a `hidden beast` number, since 6 + 353 + 3 + 0 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 6353302995 and 6353303013.

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 47 ways as a sum of consecutive naturals, for example, 4353831 + ... + 4355289.

It is an arithmetic number, because the mean of its divisors is an integer number (54366312).

Almost surely, 2^6353303040 is an apocalyptic number.

6353303040 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 6353303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13047914880).

6353303040 is an abundant number, since it is smaller than the sum of its proper divisors (19742526720).

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

6353303040 is an equidigital number, since it uses as much as digits as its factorization.

6353303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The square root of 6353303040 is about 79707.6096743592. The cubic root of 6353303040 is about 1852.1089210353.

Adding to 6353303040 its reverse (403033536), we get a palindrome (6756336576).

The spelling of 6353303040 in words is "six billion, three hundred fifty-three million, three hundred three thousand, forty".