6303995040 has 288 divisors, whose sum is σ = 23190390720. Its totient is φ = 1435262976.

The previous prime is 6303994979. The next prime is 6303995101. The reversal of 6303995040 is 405993036.

It is an interprime number because it is at equal distance from previous prime (6303994979) and next prime (6303995101).

It is a self number, because there is not a number n which added to its sum of digits gives 6303995040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10183851 + ... + 10184469.

It is an arithmetic number, because the mean of its divisors is an integer number (80522190).

Almost surely, 2^6303995040 is an apocalyptic number.

6303995040 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 6303995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11595195360).

6303995040 is an abundant number, since it is smaller than the sum of its proper divisors (16886395680).

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

6303995040 is a wasteful number, since it uses less digits than its factorization.

6303995040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 6303995040 is about 79397.7017299619. The cubic root of 6303995040 is about 1847.3050646914.

The spelling of 6303995040 in words is "six billion, three hundred three million, nine hundred ninety-five thousand, forty".