6130481760 has 504 divisors, whose sum is σ = 23589440784. Its totient is φ = 1504189440.

The previous prime is 6130481743. The next prime is 6130481831. The reversal of 6130481760 is 671840316.

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 polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 19712005 + ... + 19712315.

It is an arithmetic number, because the mean of its divisors is an integer number (46804446).

Almost surely, 2^6130481760 is an apocalyptic number.

6130481760 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 6130481760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11794720392).

6130481760 is an abundant number, since it is smaller than the sum of its proper divisors (17458959024).

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

6130481760 is a wasteful number, since it uses less digits than its factorization.

6130481760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6130481760 is about 78297.3930600502. The cubic root of 6130481760 is about 1830.1985272392.

The spelling of 6130481760 in words is "six billion, one hundred thirty million, four hundred eighty-one thousand, seven hundred sixty".