6525834240 has 352 divisors, whose sum is σ = 22402368000. Its totient is φ = 1616412672.

The previous prime is 6525834233. The next prime is 6525834253. The reversal of 6525834240 is 424385256.

It is a super-4 number, since 4×6525834240⁴ (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17218371 + ... + 17218749.

Almost surely, 2^6525834240 is an apocalyptic number.

6525834240 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 6525834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11201184000).

6525834240 is an abundant number, since it is smaller than the sum of its proper divisors (15876533760).

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

6525834240 is a wasteful number, since it uses less digits than its factorization.

6525834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The square root of 6525834240 is about 80782.6357579400. The cubic root of 6525834240 is about 1868.7247866458.

The spelling of 6525834240 in words is "six billion, five hundred twenty-five million, eight hundred thirty-four thousand, two hundred forty".