6413885856 has 144 divisors (see below), whose sum is σ = 21617354304. Its totient is φ = 1832523264.

The previous prime is 6413885827. The next prime is 6413885867. The reversal of 6413885856 is 6585883146.

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

It is a super-2 number, since 2×6413885856² = 82275863547593705472, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4485 + ... + 113348.

It is an arithmetic number, because the mean of its divisors is an integer number (150120516).

Almost surely, 2^6413885856 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 6413885856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10808677152).

6413885856 is an abundant number, since it is smaller than the sum of its proper divisors (15203468448).

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

6413885856 is a wasteful number, since it uses less digits than its factorization.

6413885856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117865 (or 117845 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The square root of 6413885856 is about 80086.7395765366. The cubic root of 6413885856 is about 1857.9773225464.

The spelling of 6413885856 in words is "six billion, four hundred thirteen million, eight hundred eighty-five thousand, eight hundred fifty-six".