6506445582 has 192 divisors, whose sum is σ = 18024768000. Its totient is φ = 1703400192.

The previous prime is 6506445563. The next prime is 6506445599. The reversal of 6506445582 is 2855446056.

6506445582 is a `hidden beast` number, since 6 + 5 + 0 + 64 + 4 + 5 + 582 = 666.

It is a super-2 number, since 2×6506445582² = 84667668223054637448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11434594 + ... + 11435162.

It is an arithmetic number, because the mean of its divisors is an integer number (93879000).

Almost surely, 2^6506445582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6506445582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9012384000).

6506445582 is an abundant number, since it is smaller than the sum of its proper divisors (11518322418).

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

6506445582 is a wasteful number, since it uses less digits than its factorization.

6506445582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The square root of 6506445582 is about 80662.5413807425. The cubic root of 6506445582 is about 1866.8722517123.

The spelling of 6506445582 in words is "six billion, five hundred six million, four hundred forty-five thousand, five hundred eighty-two".