6096046440960 has 1440 divisors, whose sum is σ = 24985145794752. Its totient is φ = 1369491701760.

The previous prime is 6096046440941. The next prime is 6096046440961. The reversal of 6096046440960 is 690446406906.

6096046440960 is a `hidden beast` number, since 6 + 0 + 96 + 0 + 464 + 4 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a junction number, because it is equal to n+sod(n) for n = 6096046440897 and 6096046440906.

It is not an unprimeable number, because it can be changed into a prime (6096046440961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28891215255 + ... + 28891215465.

Almost surely, 2^{6096046440960} is an apocalyptic number.

6096046440960 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 6096046440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12492572897376).

6096046440960 is an abundant number, since it is smaller than the sum of its proper divisors (18889099353792).

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

6096046440960 is a wasteful number, since it uses less digits than its factorization.

6096046440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 6096046440960 in words is "six trillion, ninety-six billion, forty-six million, four hundred forty thousand, nine hundred sixty".