6404870025216 has 624 divisors, whose sum is σ = 21026899857600. Its totient is φ = 1863579598848.

The previous prime is 6404870025179. The next prime is 6404870025217. The reversal of 6404870025216 is 6125200784046.

6404870025216 is a `hidden beast` number, since 6 + 40 + 4 + 87 + 0 + 0 + 2 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is not an unprimeable number, because it can be changed into a prime (6404870025217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 980984640 + ... + 980991168.

It is an arithmetic number, because the mean of its divisors is an integer number (33696954900).

Almost surely, 2^{6404870025216} 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 6404870025216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10513449928800).

6404870025216 is an abundant number, since it is smaller than the sum of its proper divisors (14622029832384).

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

6404870025216 is a wasteful number, since it uses less digits than its factorization.

6404870025216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6684 (or 6659 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 6404870025216 in words is "six trillion, four hundred four billion, eight hundred seventy million, twenty-five thousand, two hundred sixteen".