6125813760 has 384 divisors, whose sum is σ = 21755522880. Its totient is φ = 1470627840.

The previous prime is 6125813713. The next prime is 6125813773. The reversal of 6125813760 is 673185216.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59473869 + ... + 59473971.

Almost surely, 2^6125813760 is an apocalyptic number.

6125813760 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 6125813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10877761440).

6125813760 is an abundant number, since it is smaller than the sum of its proper divisors (15629709120).

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

6125813760 is a wasteful number, since it uses less digits than its factorization.

6125813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 6125813760 is about 78267.5779617589. The cubic root of 6125813760 is about 1829.7338799026.

Adding to 6125813760 its reverse (673185216), we get a palindrome (6798998976).

The spelling of 6125813760 in words is "six billion, one hundred twenty-five million, eight hundred thirteen thousand, seven hundred sixty".