6048768320 has 224 divisors, whose sum is σ = 16954292736. Its totient is φ = 2012774400.

The previous prime is 6048768269. The next prime is 6048768343. The reversal of 6048768320 is 238678406.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11609660 + ... + 11610180.

Almost surely, 2^6048768320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6048768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8477146368).

6048768320 is an abundant number, since it is smaller than the sum of its proper divisors (10905524416).

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

6048768320 is a wasteful number, since it uses less digits than its factorization.

6048768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 6048768320 is about 77773.8279885978. The cubic root of 6048768320 is about 1822.0305317117.

The spelling of 6048768320 in words is "six billion, forty-eight million, seven hundred sixty-eight thousand, three hundred twenty".