4435668864 has 640 divisors, whose sum is σ = 15995232000. Its totient is φ = 1204346880.

The previous prime is 4435668859. The next prime is 4435668899. The reversal of 4435668864 is 4688665344.

4435668864 is a `hidden beast` number, since 443 + 5 + 66 + 88 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4435668864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49838932 + ... + 49839020.

It is an arithmetic number, because the mean of its divisors is an integer number (24992550).

Almost surely, 2^4435668864 is an apocalyptic number.

4435668864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4435668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7997616000).

4435668864 is an abundant number, since it is smaller than the sum of its proper divisors (11559563136).

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

4435668864 is a wasteful number, since it uses less digits than its factorization.

4435668864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The square root of 4435668864 is about 66600.8172922825. The cubic root of 4435668864 is about 1643.0585477634.

The spelling of 4435668864 in words is "four billion, four hundred thirty-five million, six hundred sixty-eight thousand, eight hundred sixty-four".