6130207500480 has 1008 divisors, whose sum is σ = 25488147668256. Its totient is φ = 1398336307200.

The previous prime is 6130207500427. The next prime is 6130207500491. The reversal of 6130207500480 is 840057020316.

6130207500480 is a `hidden beast` number, since 61 + 30 + 20 + 7 + 500 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×6130207500480³ (a number of 39 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2289952902 + ... + 2289955578.

It is an arithmetic number, because the mean of its divisors is an integer number (25285860782).

Almost surely, 2^{6130207500480} is an apocalyptic number.

6130207500480 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 6130207500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12744073834128).

6130207500480 is an abundant number, since it is smaller than the sum of its proper divisors (19357940167776).

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

6130207500480 is a wasteful number, since it uses less digits than its factorization.

6130207500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 6130207500480 in words is "six trillion, one hundred thirty billion, two hundred seven million, five hundred thousand, four hundred eighty".