6409533240 has 384 divisors, whose sum is σ = 23782187520. Its totient is φ = 1539648000.

The previous prime is 6409533187. The next prime is 6409533241. The reversal of 6409533240 is 423359046.

6409533240 is a `hidden beast` number, since 6 + 409 + 5 + 3 + 3 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6409533195 and 6409533204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6409533241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16144722 + ... + 16145118.

It is an arithmetic number, because the mean of its divisors is an integer number (61932780).

Almost surely, 2^6409533240 is an apocalyptic number.

6409533240 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 6409533240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11891093760).

6409533240 is an abundant number, since it is smaller than the sum of its proper divisors (17372654280).

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

6409533240 is a wasteful number, since it uses less digits than its factorization.

6409533240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 6409533240 is about 80059.5605783594. The cubic root of 6409533240 is about 1857.5569381881.

The spelling of 6409533240 in words is "six billion, four hundred nine million, five hundred thirty-three thousand, two hundred forty".