64004480860896 has 144 divisors (see below), whose sum is σ = 184029406889328. Its totient is φ = 21098934528000.

The previous prime is 64004480860823. The next prime is 64004480860907. The reversal of 64004480860896 is 69806808440046.

64004480860896 is a `hidden beast` number, since 6 + 4 + 0 + 0 + 4 + 480 + 8 + 60 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×64004480860896³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23644651 + ... + 26212181.

It is an arithmetic number, because the mean of its divisors is an integer number (1277981992287).

Almost surely, 2^{64004480860896} 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 64004480860896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92014703444664).

64004480860896 is an abundant number, since it is smaller than the sum of its proper divisors (120024926028432).

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

64004480860896 is a wasteful number, since it uses less digits than its factorization.

64004480860896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568505 (or 2568494 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

It can be divided in two parts, 64004 and 480860896, that added together give a square (480924900 = 21930²).

The spelling of 64004480860896 in words is "sixty-four trillion, four billion, four hundred eighty million, eight hundred sixty thousand, eight hundred ninety-six".