6125938644 has 288 divisors, whose sum is σ = 18566102016. Its totient is φ = 1559900160.

The previous prime is 6125938597. The next prime is 6125938723. The reversal of 6125938644 is 4468395216.

Its product of digits (1244160) is a multiple of the sum of its prime divisors (486).

It is a junction number, because it is equal to n+sod(n) for n = 6125938593 and 6125938602.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 16423242 + ... + 16423614.

It is an arithmetic number, because the mean of its divisors is an integer number (64465632).

Almost surely, 2^6125938644 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 6125938644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9283051008).

6125938644 is an abundant number, since it is smaller than the sum of its proper divisors (12440163372).

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

6125938644 is a wasteful number, since it uses less digits than its factorization.

6125938644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 486 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 6125938644 is about 78268.3757593065. The cubic root of 6125938644 is about 1829.7463137844.

The spelling of 6125938644 in words is "six billion, one hundred twenty-five million, nine hundred thirty-eight thousand, six hundred forty-four".