6484787424 has 216 divisors, whose sum is σ = 19477385928. Its totient is φ = 2124714240.

The previous prime is 6484787399. The next prime is 6484787429. The reversal of 6484787424 is 4247874846.

6484787424 is a `hidden beast` number, since 6 + 484 + 78 + 74 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6484787429) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14066554 + ... + 14067014.

It is an arithmetic number, because the mean of its divisors is an integer number (90173083).

Almost surely, 2^6484787424 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 6484787424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9738692964).

6484787424 is an abundant number, since it is smaller than the sum of its proper divisors (12992598504).

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

6484787424 is an frugal number, since it uses more digits than its factorization.

6484787424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 533 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 54.

The square root of 6484787424 is about 80528.1778261498. The cubic root of 6484787424 is about 1864.7985152267.

The spelling of 6484787424 in words is "six billion, four hundred eighty-four million, seven hundred eighty-seven thousand, four hundred twenty-four".