8005672536 has 64 divisors (see below), whose sum is σ = 20653006080. Its totient is φ = 2584068480.

The previous prime is 8005672529. The next prime is 8005672547. The reversal of 8005672536 is 6352765008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166005 + ... + 208731.

It is an arithmetic number, because the mean of its divisors is an integer number (322703220).

Almost surely, 2^8005672536 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 8005672536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10326503040).

8005672536 is an abundant number, since it is smaller than the sum of its proper divisors (12647333544).

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

8005672536 is a wasteful number, since it uses less digits than its factorization.

8005672536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42984 (or 42980 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 8005672536 is about 89474.4239210290. The cubic root of 8005672536 is about 2000.4725996493.

The spelling of 8005672536 in words is "eight billion, five million, six hundred seventy-two thousand, five hundred thirty-six".