6130605696480 has 960 divisors, whose sum is σ = 23364650631168. Its totient is φ = 1509429841920.

The previous prime is 6130605696463. The next prime is 6130605696521. The reversal of 6130605696480 is 846965060316.

6130605696480 is a `hidden beast` number, since 6 + 1 + 30 + 6 + 0 + 569 + 6 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 5608970814 + ... + 5608971906.

Almost surely, 2^{6130605696480} is an apocalyptic number.

6130605696480 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 6130605696480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11682325315584).

6130605696480 is an abundant number, since it is smaller than the sum of its proper divisors (17234044934688).

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

6130605696480 is a wasteful number, since it uses less digits than its factorization.

6130605696480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 6130605696480 in words is "six trillion, one hundred thirty billion, six hundred five million, six hundred ninety-six thousand, four hundred eighty".