6409504080 has 960 divisors, whose sum is σ = 27991541760. Its totient is φ = 1330255872.

The previous prime is 6409504051. The next prime is 6409504091. The reversal of 6409504080 is 804059046.

6409504080 is a `hidden beast` number, since 640 + 9 + 5 + 0 + 4 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95664207 + ... + 95664273.

It is an arithmetic number, because the mean of its divisors is an integer number (29157856).

Almost surely, 2^6409504080 is an apocalyptic number.

6409504080 is a gapful number since it is divisible by the number (60) 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 6409504080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13995770880).

6409504080 is an abundant number, since it is smaller than the sum of its proper divisors (21582037680).

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

6409504080 is a wasteful number, since it uses less digits than its factorization.

6409504080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6409504080 is about 80059.3784637378. The cubic root of 6409504080 is about 1857.5541212153.

The spelling of 6409504080 in words is "six billion, four hundred nine million, five hundred four thousand, eighty".