6409355904 has 256 divisors, whose sum is σ = 22560768000. Its totient is φ = 1751473152.

The previous prime is 6409355891. The next prime is 6409355921. The reversal of 6409355904 is 4095539046.

6409355904 is a `hidden beast` number, since 6 + 4 + 0 + 93 + 559 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6409355904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550657 + ... + 562175.

It is an arithmetic number, because the mean of its divisors is an integer number (88128000).

Almost surely, 2^6409355904 is an apocalyptic number.

6409355904 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 6409355904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11280384000).

6409355904 is an abundant number, since it is smaller than the sum of its proper divisors (16151412096).

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

6409355904 is a wasteful number, since it uses less digits than its factorization.

6409355904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11572 (or 11554 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 6409355904 is about 80058.4530452594. The cubic root of 6409355904 is about 1857.5398066882.

The spelling of 6409355904 in words is "six billion, four hundred nine million, three hundred fifty-five thousand, nine hundred four".