8008740576 has 288 divisors, whose sum is σ = 25034038848. Its totient is φ = 2420858880.

The previous prime is 8008740563. The next prime is 8008740629. The reversal of 8008740576 is 6750478008.

8008740576 is a `hidden beast` number, since 8 + 0 + 0 + 8 + 74 + 0 + 576 = 666.

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

It is a super-3 number, since 3×8008740576³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10048210 + ... + 10049006.

It is an arithmetic number, because the mean of its divisors is an integer number (86923746).

Almost surely, 2^8008740576 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 8008740576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12517019424).

8008740576 is an abundant number, since it is smaller than the sum of its proper divisors (17025298272).

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

8008740576 is a wasteful number, since it uses less digits than its factorization.

8008740576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 8008740576 is about 89491.5670664002. The cubic root of 8008740576 is about 2000.7281162245.

The spelling of 8008740576 in words is "eight billion, eight million, seven hundred forty thousand, five hundred seventy-six".