8006479152 has 240 divisors, whose sum is σ = 24954712320. Its totient is φ = 2164216320.

The previous prime is 8006479109. The next prime is 8006479153. The reversal of 8006479152 is 2519746008.

It is a super-2 number, since 2×8006479152² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (8006479153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49119423 + ... + 49119585.

It is an arithmetic number, because the mean of its divisors is an integer number (103977968).

Almost surely, 2^8006479152 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 8006479152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12477356160).

8006479152 is an abundant number, since it is smaller than the sum of its proper divisors (16948233168).

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

8006479152 is a wasteful number, since it uses less digits than its factorization.

8006479152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 8006479152 is about 89478.9313302299. The cubic root of 8006479152 is about 2000.5397836370.

The spelling of 8006479152 in words is "eight billion, six million, four hundred seventy-nine thousand, one hundred fifty-two".