8006616072 has 640 divisors, whose sum is σ = 30004128000. Its totient is φ = 1975228416.

The previous prime is 8006616071. The next prime is 8006616077. The reversal of 8006616072 is 2706166008.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (8006616071) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49120263 + ... + 49120425.

It is an arithmetic number, because the mean of its divisors is an integer number (46881450).

Almost surely, 2^8006616072 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 8006616072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15002064000).

8006616072 is an abundant number, since it is smaller than the sum of its proper divisors (21997511928).

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

8006616072 is a wasteful number, since it uses less digits than its factorization.

8006616072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8006616072 is about 89479.6964232669. The cubic root of 8006616072 is about 2000.5511874156.

The spelling of 8006616072 in words is "eight billion, six million, six hundred sixteen thousand, seventy-two".