6408297504 has 480 divisors, whose sum is σ = 23491036800. Its totient is φ = 1672151040.

The previous prime is 6408297491. The next prime is 6408297521. The reversal of 6408297504 is 4057928046.

It is a happy number.

6408297504 is a `hidden beast` number, since 64 + 0 + 82 + 9 + 7 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6408297504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9997024 + ... + 9997664.

It is an arithmetic number, because the mean of its divisors is an integer number (48939660).

Almost surely, 2^6408297504 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 6408297504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11745518400).

6408297504 is an abundant number, since it is smaller than the sum of its proper divisors (17082739296).

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

6408297504 is a wasteful number, since it uses less digits than its factorization.

6408297504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6408297504 is about 80051.8426021538. The cubic root of 6408297504 is about 1857.4375536490.

The spelling of 6408297504 in words is "six billion, four hundred eight million, two hundred ninety-seven thousand, five hundred four".