6125276800 has 192 divisors, whose sum is σ = 16184064600. Its totient is φ = 2282618880.

The previous prime is 6125276779. The next prime is 6125276813. The reversal of 6125276800 is 86725216.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3145863744 + 2979413056 = 56088^2 + 54584^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6125276800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5929084 + ... + 5930116.

Almost surely, 2^6125276800 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 6125276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8092032300).

6125276800 is an abundant number, since it is smaller than the sum of its proper divisors (10058787800).

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

6125276800 is a wasteful number, since it uses less digits than its factorization.

6125276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 6125276800 is about 78264.1476028456. The cubic root of 6125276800 is about 1829.6804163873.

The spelling of 6125276800 in words is "six billion, one hundred twenty-five million, two hundred seventy-six thousand, eight hundred".