6130838160 has 200 divisors, whose sum is σ = 21551745600. Its totient is φ = 1615051008.

The previous prime is 6130838107. The next prime is 6130838179. The reversal of 6130838160 is 618380316.

6130838160 is a `hidden beast` number, since 613 + 0 + 8 + 38 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×6130838160² = 75174353088224371200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 532141 + ... + 543539.

It is an arithmetic number, because the mean of its divisors is an integer number (107758728).

Almost surely, 2^6130838160 is an apocalyptic number.

6130838160 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 6130838160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10775872800).

6130838160 is an abundant number, since it is smaller than the sum of its proper divisors (15420907440).

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

6130838160 is a wasteful number, since it uses less digits than its factorization.

6130838160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11507 (or 11492 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6130838160 is about 78299.6689648175. The cubic root of 6130838160 is about 1830.2339931912.

The spelling of 6130838160 in words is "six billion, one hundred thirty million, eight hundred thirty-eight thousand, one hundred sixty".