4608821664 has 72 divisors (see below), whose sum is σ = 13189945860. Its totient is φ = 1526473728.

The previous prime is 4608821641. The next prime is 4608821671. The reversal of 4608821664 is 4661288064.

It can be written as a sum of positive squares in 2 ways, for example, as 4540064400 + 68757264 = 67380^2 + 8292^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5749 + ... + 96180.

Almost surely, 2^4608821664 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 4608821664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6594972930).

4608821664 is an abundant number, since it is smaller than the sum of its proper divisors (8581124196).

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

4608821664 is a wasteful number, since it uses less digits than its factorization.

4608821664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102102 (or 102091 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4608821664 is about 67888.3028510803. The cubic root of 4608821664 is about 1664.1659605490.

The spelling of 4608821664 in words is "four billion, six hundred eight million, eight hundred twenty-one thousand, six hundred sixty-four".