6125616000 has 768 divisors, whose sum is σ = 25815628800. Its totient is φ = 1363046400.

The previous prime is 6125615971. The next prime is 6125616011. The reversal of 6125616000 is 6165216.

It is a happy number.

6125616000 is a `hidden beast` number, since 6 + 1 + 2 + 56 + 1 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59471949 + ... + 59472051.

It is an arithmetic number, because the mean of its divisors is an integer number (33614100).

Almost surely, 2^6125616000 is an apocalyptic number.

6125616000 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 6125616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12907814400).

6125616000 is an abundant number, since it is smaller than the sum of its proper divisors (19690012800).

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

6125616000 is a wasteful number, since it uses less digits than its factorization.

6125616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6125616000 is about 78266.3145931888. The cubic root of 6125616000 is about 1829.7141898892.

The spelling of 6125616000 in words is "six billion, one hundred twenty-five million, six hundred sixteen thousand".