6048967680 has 1056 divisors, whose sum is σ = 26882841600. Its totient is φ = 1281982464.

The previous prime is 6048967649. The next prime is 6048967741. The reversal of 6048967680 is 867698406.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 128701417 + ... + 128701463.

Almost surely, 2^6048967680 is an apocalyptic number.

6048967680 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 6048967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441420800).

6048967680 is an abundant number, since it is smaller than the sum of its proper divisors (20833873920).

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

6048967680 is a wasteful number, since it uses less digits than its factorization.

6048967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 6048967680 is about 77775.1096431243. The cubic root of 6048967680 is about 1822.0505487905.

The spelling of 6048967680 in words is "six billion, forty-eight million, nine hundred sixty-seven thousand, six hundred eighty".