8005504752 has 640 divisors, whose sum is σ = 29283840000. Its totient is φ = 2112397056.

The previous prime is 8005504711. The next prime is 8005504753. The reversal of 8005504752 is 2574055008.

It is a happy number.

8005504752 is a `hidden beast` number, since 80 + 0 + 5 + 504 + 75 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005504753) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 276051874 + ... + 276051902.

It is an arithmetic number, because the mean of its divisors is an integer number (45756000).

Almost surely, 2^8005504752 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 8005504752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14641920000).

8005504752 is an abundant number, since it is smaller than the sum of its proper divisors (21278335248).

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

8005504752 is an equidigital number, since it uses as much as digits as its factorization.

8005504752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 8005504752 is about 89473.4863073972. The cubic root of 8005504752 is about 2000.4586241572.

The spelling of 8005504752 in words is "eight billion, five million, five hundred four thousand, seven hundred fifty-two".