6473585664 has 704 divisors, whose sum is σ = 24650465280. Its totient is φ = 1632337920.

The previous prime is 6473585659. The next prime is 6473585689. The reversal of 6473585664 is 4665853746.

6473585664 is a `hidden beast` number, since 6 + 4 + 73 + 5 + 8 + 566 + 4 = 666.

It is a super-2 number, since 2×6473585664² = 83814622698292641792, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6473585664.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 77994967 + ... + 77995049.

Almost surely, 2^6473585664 is an apocalyptic number.

6473585664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6473585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12325232640).

6473585664 is an abundant number, since it is smaller than the sum of its proper divisors (18176879616).

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

6473585664 is a wasteful number, since it uses less digits than its factorization.

6473585664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The square root of 6473585664 is about 80458.5959609040. The cubic root of 6473585664 is about 1863.7241513121.

The spelling of 6473585664 in words is "six billion, four hundred seventy-three million, five hundred eighty-five thousand, six hundred sixty-four".