6125680512 has 384 divisors, whose sum is σ = 21411799200. Its totient is φ = 1718599680.

The previous prime is 6125680511. The next prime is 6125680513. The reversal of 6125680512 is 2150865216.

6125680512 is a `hidden beast` number, since 6 + 12 + 56 + 80 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (6125680511) and next prime (6125680513).

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6125680511) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10329688 + ... + 10330280.

Almost surely, 2^6125680512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6125680512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10705899600).

6125680512 is an abundant number, since it is smaller than the sum of its proper divisors (15286118688).

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

6125680512 is a wasteful number, since it uses less digits than its factorization.

6125680512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 6125680512 is about 78266.7267234295. The cubic root of 6125680512 is about 1829.7206130858.

The spelling of 6125680512 in words is "six billion, one hundred twenty-five million, six hundred eighty thousand, five hundred twelve".