6348375120 has 80 divisors (see below), whose sum is σ = 19712524032. Its totient is φ = 1690099200.

The previous prime is 6348375119. The next prime is 6348375151. The reversal of 6348375120 is 215738436.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 125545 + ... + 168695.

Almost surely, 2^6348375120 is an apocalyptic number.

6348375120 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 6348375120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9856262016).

6348375120 is an abundant number, since it is smaller than the sum of its proper divisors (13364148912).

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

6348375120 is a wasteful number, since it uses less digits than its factorization.

6348375120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43780 (or 43774 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 6348375120 is about 79676.6911963593. The cubic root of 6348375120 is about 1851.6299363065.

The spelling of 6348375120 in words is "six billion, three hundred forty-eight million, three hundred seventy-five thousand, one hundred twenty".