6417085464 has 128 divisors (see below), whose sum is σ = 18063360000. Its totient is φ = 2110655232.

The previous prime is 6417085457. The next prime is 6417085469. The reversal of 6417085464 is 4645807146.

6417085464 is a `hidden beast` number, since 6 + 41 + 70 + 85 + 464 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6417085469) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6116812 + ... + 6117860.

It is an arithmetic number, because the mean of its divisors is an integer number (141120000).

Almost surely, 2^6417085464 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 6417085464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9031680000).

6417085464 is an abundant number, since it is smaller than the sum of its proper divisors (11646274536).

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

6417085464 is a wasteful number, since it uses less digits than its factorization.

6417085464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1404 counting only the distinct ones).

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

The square root of 6417085464 is about 80106.7129771282. The cubic root of 6417085464 is about 1858.2862258113.

The spelling of 6417085464 in words is "six billion, four hundred seventeen million, eighty-five thousand, four hundred sixty-four".