8068542048 has 288 divisors, whose sum is σ = 28108394496. Its totient is φ = 2145014784.

The previous prime is 8068542047. The next prime is 8068542101. The reversal of 8068542048 is 8402458608.

8068542048 is a `hidden beast` number, since 8 + 0 + 68 + 542 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×8068542048³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8068541994 and 8068542012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8068542047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1713265 + ... + 1717967.

It is an arithmetic number, because the mean of its divisors is an integer number (97598592).

Almost surely, 2^8068542048 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 8068542048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14054197248).

8068542048 is an abundant number, since it is smaller than the sum of its proper divisors (20039852448).

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

8068542048 is a wasteful number, since it uses less digits than its factorization.

8068542048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786 (or 4775 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 8068542048 is about 89825.0635847256. The cubic root of 8068542048 is about 2005.6956019952.

The spelling of 8068542048 in words is "eight billion, sixty-eight million, five hundred forty-two thousand, forty-eight".