6720075648 has 576 divisors, whose sum is σ = 24189263280. Its totient is φ = 1765048320.

The previous prime is 6720075641. The next prime is 6720075683. The reversal of 6720075648 is 8465700276.

6720075648 is a `hidden beast` number, since 67 + 20 + 0 + 7 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6720075641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59469640 + ... + 59469752.

Almost surely, 2^6720075648 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 6720075648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12094631640).

6720075648 is an abundant number, since it is smaller than the sum of its proper divisors (17469187632).

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

6720075648 is a wasteful number, since it uses less digits than its factorization.

6720075648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 6720075648 is about 81976.0675319328. The cubic root of 6720075648 is about 1887.0846731341.

The spelling of 6720075648 in words is "six billion, seven hundred twenty million, seventy-five thousand, six hundred forty-eight".