4435380864 has 96 divisors (see below), whose sum is σ = 12830044500. Its totient is φ = 1470726144.

The previous prime is 4435380853. The next prime is 4435380923. The reversal of 4435380864 is 4680835344.

4435380864 is a `hidden beast` number, since 443 + 53 + 80 + 86 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3878798400 + 556582464 = 62280^2 + 23592^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 212362 + ... + 232310.

Almost surely, 2^4435380864 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 4435380864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415022250).

4435380864 is an abundant number, since it is smaller than the sum of its proper divisors (8394663636).

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

4435380864 is a wasteful number, since it uses less digits than its factorization.

4435380864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20162 (or 20147 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 4435380864 is about 66598.6551215563. The cubic root of 4435380864 is about 1643.0229867151.

The spelling of 4435380864 in words is "four billion, four hundred thirty-five million, three hundred eighty thousand, eight hundred sixty-four".