6125835840 has 112 divisors (see below), whose sum is σ = 19642409280. Its totient is φ = 1617356800.

The previous prime is 6125835827. The next prime is 6125835841. The reversal of 6125835840 is 485385216.

It is a junction number, because it is equal to n+sod(n) for n = 6125835792 and 6125835801.

It is not an unprimeable number, because it can be changed into a prime (6125835841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 65371 + ... + 128549.

Almost surely, 2^6125835840 is an apocalyptic number.

6125835840 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 6125835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9821204640).

6125835840 is an abundant number, since it is smaller than the sum of its proper divisors (13516573440).

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

6125835840 is a wasteful number, since it uses less digits than its factorization.

6125835840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63300 (or 63290 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 6125835840 is about 78267.7190162074. The cubic root of 6125835840 is about 1829.7360782759.

The spelling of 6125835840 in words is "six billion, one hundred twenty-five million, eight hundred thirty-five thousand, eight hundred forty".