6125656960 has 64 divisors (see below), whose sum is σ = 14692320720. Its totient is φ = 2442203136.

The previous prime is 6125656931. The next prime is 6125656961. The reversal of 6125656960 is 696565216.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 6125656960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6125656961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180892 + ... + 212068.

Almost surely, 2^6125656960 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 6125656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7346160360).

6125656960 is an abundant number, since it is smaller than the sum of its proper divisors (8566663760).

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

6125656960 is a wasteful number, since it uses less digits than its factorization.

6125656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31503 (or 31491 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 46.

The square root of 6125656960 is about 78266.5762634344. The cubic root of 6125656960 is about 1829.7182681144.

The spelling of 6125656960 in words is "six billion, one hundred twenty-five million, six hundred fifty-six thousand, nine hundred sixty".