6127915104 has 144 divisors (see below), whose sum is σ = 17914478400. Its totient is φ = 1985771520.

The previous prime is 6127915097. The next prime is 6127915117. The reversal of 6127915104 is 4015197216.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4120249 + ... + 4121735.

It is an arithmetic number, because the mean of its divisors is an integer number (124406100).

Almost surely, 2^6127915104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6127915104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8957239200).

6127915104 is an abundant number, since it is smaller than the sum of its proper divisors (11786563296).

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

6127915104 is a wasteful number, since it uses less digits than its factorization.

6127915104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 6127915104 is about 78281.0009133762. Note that the first 3 decimals coincide. The cubic root of 6127915104 is about 1829.9430744632.

The spelling of 6127915104 in words is "six billion, one hundred twenty-seven million, nine hundred fifteen thousand, one hundred four".