6130656000 has 432 divisors, whose sum is σ = 25219591488. Its totient is φ = 1400832000.

The previous prime is 6130655989. The next prime is 6130656017. The reversal of 6130656000 is 6560316.

6130656000 is a `hidden beast` number, since 6 + 1 + 3 + 0 + 656 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2014480 + ... + 2017520.

It is an arithmetic number, because the mean of its divisors is an integer number (58378684).

Almost surely, 2^6130656000 is an apocalyptic number.

6130656000 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 6130656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12609795744).

6130656000 is an abundant number, since it is smaller than the sum of its proper divisors (19088935488).

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

6130656000 is a wasteful number, since it uses less digits than its factorization.

6130656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3085 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 6130656000 is about 78298.5057328682. The cubic root of 6130656000 is about 1830.2158663208.

The spelling of 6130656000 in words is "six billion, one hundred thirty million, six hundred fifty-six thousand".