8072663104 has 63 divisors (see below), whose sum is σ = 17625133533. Its totient is φ = 3665798400.

The previous prime is 8072663101. The next prime is 8072663153. The reversal of 8072663104 is 4013662708.

The square root of 8072663104 is 89848.

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

It can be written as a sum of positive squares in only one way, i.e., 4699376704 + 3373286400 = 68552^2 + 58080^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8072663101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7906114 + ... + 7907134.

Almost surely, 2^8072663104 is an apocalyptic number.

8072663104 is the 89848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8072663104

8072663104 is an abundant number, since it is smaller than the sum of its proper divisors (9552470429).

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

8072663104 is an equidigital number, since it uses as much as digits as its factorization.

8072663104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The cubic root of 8072663104 is about 2006.0370175411.

It can be divided in two parts, 8072 and 663104, that added together give a palindrome (671176).

The spelling of 8072663104 in words is "eight billion, seventy-two million, six hundred sixty-three thousand, one hundred four".