6130825344 has 192 divisors, whose sum is σ = 20210149440. Its totient is φ = 1747519488.

The previous prime is 6130825339. The next prime is 6130825367. The reversal of 6130825344 is 4435280316.

6130825344 is a `hidden beast` number, since 6 + 1 + 308 + 2 + 5 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 6130825299 and 6130825308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5458767 + ... + 5459889.

It is an arithmetic number, because the mean of its divisors is an integer number (105261195).

Almost surely, 2^6130825344 is an apocalyptic number.

6130825344 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 6130825344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10105074720).

6130825344 is an abundant number, since it is smaller than the sum of its proper divisors (14079324096).

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

6130825344 is a wasteful number, since it uses less digits than its factorization.

6130825344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6130825344 is about 78299.5871253482. The cubic root of 6130825344 is about 1830.2327178737.

The spelling of 6130825344 in words is "six billion, one hundred thirty million, eight hundred twenty-five thousand, three hundred forty-four".