6130581800 has 192 divisors, whose sum is σ = 17613456000. Its totient is φ = 1937157120.

The previous prime is 6130581761. The next prime is 6130581827. The reversal of 6130581800 is 81850316.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 981086 + ... + 987314.

It is an arithmetic number, because the mean of its divisors is an integer number (91736750).

Almost surely, 2^6130581800 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 6130581800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8806728000).

6130581800 is an abundant number, since it is smaller than the sum of its proper divisors (11482874200).

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

6130581800 is a wasteful number, since it uses less digits than its factorization.

6130581800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6308 (or 6299 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 6130581800 is about 78298.0319037458. The cubic root of 6130581800 is about 1830.2084825234.

The spelling of 6130581800 in words is "six billion, one hundred thirty million, five hundred eighty-one thousand, eight hundred".