6125232960 has 1176 divisors, whose sum is σ = 28357421568. Its totient is φ = 1231718400.

The previous prime is 6125232937. The next prime is 6125232961. The reversal of 6125232960 is 692325216.

6125232960 is a `hidden beast` number, since 612 + 5 + 2 + 32 + 9 + 6 + 0 = 666.

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 (6125232961) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 197588145 + ... + 197588175.

Almost surely, 2^6125232960 is an apocalyptic number.

6125232960 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 6125232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14178710784).

6125232960 is an abundant number, since it is smaller than the sum of its proper divisors (22232188608).

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

6125232960 is a wasteful number, since it uses less digits than its factorization.

6125232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6125232960 is about 78263.8675251869. The cubic root of 6125232960 is about 1829.6760512306.

The spelling of 6125232960 in words is "six billion, one hundred twenty-five million, two hundred thirty-two thousand, nine hundred sixty".