6048606720 has 320 divisors, whose sum is σ = 21283637760. Its totient is φ = 1456078848.

The previous prime is 6048606691. The next prime is 6048606727. The reversal of 6048606720 is 276068406.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (6048606727) by changing a digit.

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, 4691836 + ... + 4693124.

It is an arithmetic number, because the mean of its divisors is an integer number (66511368).

Almost surely, 2^6048606720 is an apocalyptic number.

6048606720 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 6048606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10641818880).

6048606720 is an abundant number, since it is smaller than the sum of its proper divisors (15235031040).

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

6048606720 is a wasteful number, since it uses less digits than its factorization.

6048606720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 6048606720 is about 77772.7890717570. The cubic root of 6048606720 is about 1822.0143056670.

The spelling of 6048606720 in words is "six billion, forty-eight million, six hundred six thousand, seven hundred twenty".