6459993648 has 90 divisors (see below), whose sum is σ = 18763159324. Its totient is φ = 2151660672.

The previous prime is 6459993643. The next prime is 6459993649. The reversal of 6459993648 is 8463999546.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6459993648 is a `hidden beast` number, since 6 + 4 + 599 + 9 + 36 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6459993643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5010988 + ... + 5012276.

Almost surely, 2^6459993648 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 6459993648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9381579662).

6459993648 is an abundant number, since it is smaller than the sum of its proper divisors (12303165676).

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

6459993648 is an frugal number, since it uses more digits than its factorization.

6459993648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 1294 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The square root of 6459993648 is about 80374.0856744262. The cubic root of 6459993648 is about 1862.4188717000.

The spelling of 6459993648 in words is "six billion, four hundred fifty-nine million, nine hundred ninety-three thousand, six hundred forty-eight".