6130464480 has 288 divisors, whose sum is σ = 24960610080. Its totient is φ = 1401200640.

The previous prime is 6130464467. The next prime is 6130464499. The reversal of 6130464480 is 844640316.

6130464480 is a `hidden beast` number, since 6 + 1 + 3 + 0 + 4 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197200 + ... + 226160.

It is an arithmetic number, because the mean of its divisors is an integer number (86668785).

Almost surely, 2^6130464480 is an apocalyptic number.

6130464480 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 6130464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12480305040).

6130464480 is an abundant number, since it is smaller than the sum of its proper divisors (18830145600).

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

6130464480 is a wasteful number, since it uses less digits than its factorization.

6130464480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28999 (or 28978 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6130464480 is about 78297.2827114709. The cubic root of 6130464480 is about 1830.1968076430.

The spelling of 6130464480 in words is "six billion, one hundred thirty million, four hundred sixty-four thousand, four hundred eighty".