6531882240 has 288 divisors, whose sum is σ = 23446805760. Its totient is φ = 1537671168.

The previous prime is 6531882229. The next prime is 6531882391. The reversal of 6531882240 is 422881356.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 1145316 + ... + 1151004.

It is an arithmetic number, because the mean of its divisors is an integer number (81412520).

Almost surely, 2^6531882240 is an apocalyptic number.

6531882240 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 6531882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11723402880).

6531882240 is an abundant number, since it is smaller than the sum of its proper divisors (16914923520).

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

6531882240 is a wasteful number, since it uses less digits than its factorization.

6531882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5749 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 6531882240 is about 80820.0608759979. The cubic root of 6531882240 is about 1869.3019061064.

The spelling of 6531882240 in words is "six billion, five hundred thirty-one million, eight hundred eighty-two thousand, two hundred forty".