6300944999424 has 352 divisors, whose sum is σ = 19278089216000. Its totient is φ = 2030897111040.

The previous prime is 6300944999423. The next prime is 6300944999441. The reversal of 6300944999424 is 4249994490036.

6300944999424 is a `hidden beast` number, since 6 + 30 + 0 + 9 + 4 + 499 + 94 + 24 = 666.

It is a super-2 number, since 2×6300944999424² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6300944999423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1456190349 + ... + 1456194675.

Almost surely, 2^{6300944999424} is an apocalyptic number.

6300944999424 is a gapful number since it is divisible by the number (64) 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 6300944999424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9639044608000).

6300944999424 is an abundant number, since it is smaller than the sum of its proper divisors (12977144216576).

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

6300944999424 is a wasteful number, since it uses less digits than its factorization.

6300944999424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6086 (or 6062 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 6300944999424 in words is "six trillion, three hundred billion, nine hundred forty-four million, nine hundred ninety-nine thousand, four hundred twenty-four".