6639407424 has 336 divisors, whose sum is σ = 22522281600. Its totient is φ = 1850314752.

The previous prime is 6639407393. The next prime is 6639407431. The reversal of 6639407424 is 4247049366.

It is a happy number.

6639407424 is a `hidden beast` number, since 6 + 639 + 4 + 0 + 7 + 4 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6639407424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3271242 + ... + 3273270.

It is an arithmetic number, because the mean of its divisors is an integer number (67030600).

Almost surely, 2^6639407424 is an apocalyptic number.

6639407424 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 6639407424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11261140800).

6639407424 is an abundant number, since it is smaller than the sum of its proper divisors (15882874176).

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

6639407424 is a wasteful number, since it uses less digits than its factorization.

6639407424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 6639407424 is about 81482.5590172523. The cubic root of 6639407424 is about 1879.5033605904.

The spelling of 6639407424 in words is "six billion, six hundred thirty-nine million, four hundred seven thousand, four hundred twenty-four".