6330071040 has 576 divisors, whose sum is σ = 23172065280. Its totient is φ = 1470627840.

The previous prime is 6330071021. The next prime is 6330071051. The reversal of 6330071040 is 401700336.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6330071040.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 204195825 + ... + 204195855.

It is an arithmetic number, because the mean of its divisors is an integer number (40229280).

Almost surely, 2^6330071040 is an apocalyptic number.

6330071040 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 6330071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11586032640).

6330071040 is an abundant number, since it is smaller than the sum of its proper divisors (16841994240).

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

6330071040 is a wasteful number, since it uses less digits than its factorization.

6330071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 6330071040 is about 79561.7435706383. The cubic root of 6330071040 is about 1849.8486401611.

Adding to 6330071040 its reverse (401700336), we get a palindrome (6731771376).

The spelling of 6330071040 in words is "six billion, three hundred thirty million, seventy-one thousand, forty".