8006734656 has 70 divisors (see below), whose sum is σ = 23734485170. Its totient is φ = 2668909824.

The previous prime is 8006734649. The next prime is 8006734657. The reversal of 8006734656 is 6564376008.

It can be written as a sum of positive squares in only one way, i.e., 6159110400 + 1847624256 = 78480^2 + 42984^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006734657) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 767071 + ... + 777438.

Almost surely, 2^8006734656 is an apocalyptic number.

It is an amenable number.

8006734656 is an abundant number, since it is smaller than the sum of its proper divisors (15727750514).

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

8006734656 is a wasteful number, since it uses less digits than its factorization.

8006734656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544533 (or 1544514 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 8006734656 is about 89480.3590515818. The cubic root of 8006734656 is about 2000.5610639223.

The spelling of 8006734656 in words is "eight billion, six million, seven hundred thirty-four thousand, six hundred fifty-six".