6048544320 has 896 divisors, whose sum is σ = 26968704000. Its totient is φ = 1268047872.

The previous prime is 6048544289. The next prime is 6048544349. The reversal of 6048544320 is 234458406.

6048544320 is a `hidden beast` number, since 604 + 8 + 5 + 4 + 43 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 38525682 + ... + 38525838.

It is an arithmetic number, because the mean of its divisors is an integer number (30099000).

Almost surely, 2^6048544320 is an apocalyptic number.

6048544320 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 6048544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484352000).

6048544320 is an abundant number, since it is smaller than the sum of its proper divisors (20920159680).

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

6048544320 is a wasteful number, since it uses less digits than its factorization.

6048544320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 6048544320 is about 77772.3879021340. The cubic root of 6048544320 is about 1822.0080400872.

The spelling of 6048544320 in words is "six billion, forty-eight million, five hundred forty-four thousand, three hundred twenty".