6375633830016 has 512 divisors, whose sum is σ = 19592945971200. Its totient is φ = 1816672665600.

The previous prime is 6375633829973. The next prime is 6375633830017. The reversal of 6375633830016 is 6100383365736.

It is not an unprimeable number, because it can be changed into a prime (6375633830017) 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 63 ways as a sum of consecutive naturals, for example, 9417479470 + ... + 9417480146.

It is an arithmetic number, because the mean of its divisors is an integer number (38267472600).

Almost surely, 2^{6375633830016} is an apocalyptic number.

6375633830016 is a gapful number since it is divisible by the number (66) 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 6375633830016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9796472985600).

6375633830016 is an abundant number, since it is smaller than the sum of its proper divisors (13217312141184).

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

6375633830016 is a wasteful number, since it uses less digits than its factorization.

6375633830016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 51.

The spelling of 6375633830016 in words is "six trillion, three hundred seventy-five billion, six hundred thirty-three million, eight hundred thirty thousand, sixteen".