4394801664 has 160 divisors (see below), whose sum is σ = 14192038080. Its totient is φ = 1331712000.

The previous prime is 4394801657. The next prime is 4394801687. The reversal of 4394801664 is 4661084934.

4394801664 is a `hidden beast` number, since 4 + 3 + 9 + 480 + 166 + 4 = 666.

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 15 ways as a sum of consecutive naturals, for example, 137614 + ... + 166514.

It is an arithmetic number, because the mean of its divisors is an integer number (88700238).

Almost surely, 2^4394801664 is an apocalyptic number.

4394801664 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 4394801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7096019040).

4394801664 is an abundant number, since it is smaller than the sum of its proper divisors (9797236416).

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

4394801664 is a wasteful number, since it uses less digits than its factorization.

4394801664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28939 (or 28917 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4394801664 is about 66293.3002949770. The cubic root of 4394801664 is about 1637.9969676177.

It can be divided in two parts, 439480 and 1664, that added together give a palindrome (441144).

The spelling of 4394801664 in words is "four billion, three hundred ninety-four million, eight hundred one thousand, six hundred sixty-four".