6409323360 has 576 divisors, whose sum is σ = 24964692480. Its totient is φ = 1483776000.

The previous prime is 6409323343. The next prime is 6409323373. The reversal of 6409323360 is 633239046.

6409323360 is a `hidden beast` number, since 640 + 9 + 3 + 2 + 3 + 3 + 6 + 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 95 ways as a sum of consecutive naturals, for example, 46110171 + ... + 46110309.

It is an arithmetic number, because the mean of its divisors is an integer number (43341480).

Almost surely, 2^6409323360 is an apocalyptic number.

6409323360 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 6409323360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12482346240).

6409323360 is an abundant number, since it is smaller than the sum of its proper divisors (18555369120).

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

6409323360 is a wasteful number, since it uses less digits than its factorization.

6409323360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 6409323360 is about 80058.2497935097. The cubic root of 6409323360 is about 1857.5366627489.

The spelling of 6409323360 in words is "six billion, four hundred nine million, three hundred twenty-three thousand, three hundred sixty".