7905644064 has 120 divisors (see below), whose sum is σ = 24052242060. Its totient is φ = 2544321024.

The previous prime is 7905644063. The next prime is 7905644083. The reversal of 7905644064 is 4604465097.

It can be written as a sum of positive squares in 2 ways, for example, as 7760200464 + 145443600 = 88092^2 + 12060^2 .

It is not an unprimeable number, because it can be changed into a prime (7905644063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22582 + ... + 127754.

Almost surely, 2^7905644064 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 7905644064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12026121030).

7905644064 is an abundant number, since it is smaller than the sum of its proper divisors (16146597996).

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

7905644064 is a wasteful number, since it uses less digits than its factorization.

7905644064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105224 (or 105207 counting only the distinct ones).

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

The square root of 7905644064 is about 88913.6888448567. The cubic root of 7905644064 is about 1992.1058878246.

The spelling of 7905644064 in words is "seven billion, nine hundred five million, six hundred forty-four thousand, sixty-four".