6046824960 has 600 divisors, whose sum is σ = 23904477828. Its totient is φ = 1459814400.

The previous prime is 6046824947. The next prime is 6046824967. The reversal of 6046824960 is 694286406.

It can be written as a sum of positive squares in 2 ways, for example, as 6024243456 + 22581504 = 77616^2 + 4752^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6046824967) 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 59 ways as a sum of consecutive naturals, for example, 25090440 + ... + 25090680.

Almost surely, 2^6046824960 is an apocalyptic number.

6046824960 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 6046824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11952238914).

6046824960 is an abundant number, since it is smaller than the sum of its proper divisors (17857652868).

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

6046824960 is a wasteful number, since it uses less digits than its factorization.

6046824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6046824960 is about 77761.3333219023. Note that the first 4 decimals coincide. The cubic root of 6046824960 is about 1821.8353823116.

The spelling of 6046824960 in words is "six billion, forty-six million, eight hundred twenty-four thousand, nine hundred sixty".