6464626416 has 160 divisors (see below), whose sum is σ = 19243530240. Its totient is φ = 2075673600.

The previous prime is 6464626403. The next prime is 6464626429. The reversal of 6464626416 is 6146264646.

6464626416 is a `hidden beast` number, since 6 + 4 + 6 + 4 + 626 + 4 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (6464626403) and next prime (6464626429).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3226471 + ... + 3228473.

It is an arithmetic number, because the mean of its divisors is an integer number (120272064).

Almost surely, 2^6464626416 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 6464626416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9621765120).

6464626416 is an abundant number, since it is smaller than the sum of its proper divisors (12778903824).

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

6464626416 is a wasteful number, since it uses less digits than its factorization.

6464626416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2280 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 6464626416 is about 80402.9005446943. The cubic root of 6464626416 is about 1862.8639749664.

The spelling of 6464626416 in words is "six billion, four hundred sixty-four million, six hundred twenty-six thousand, four hundred sixteen".