8064758416 has 135 divisors (see below), whose sum is σ = 18717104763. Its totient is φ = 3362261760.

The previous prime is 8064758413. The next prime is 8064758461. The reversal of 8064758416 is 6148574608.

The square root of 8064758416 is 89804.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2600592016 + 5464166400 = 50996^2 + 73920^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8064758416.

It is not an unprimeable number, because it can be changed into a prime (8064758413) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51367810 + ... + 51367966.

Almost surely, 2^8064758416 is an apocalyptic number.

8064758416 is the 89804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8064758416

8064758416 is an abundant number, since it is smaller than the sum of its proper divisors (10652346347).

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

8064758416 is a wasteful number, since it uses less digits than its factorization.

8064758416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The cubic root of 8064758416 is about 2005.3820385059.

Multiplying 8064758416 by its sum of digits (49), we get a square (395173162384 = 628628²).

The spelling of 8064758416 in words is "eight billion, sixty-four million, seven hundred fifty-eight thousand, four hundred sixteen".