6537509440 has 336 divisors, whose sum is σ = 20452201920. Its totient is φ = 1965895680.

The previous prime is 6537509437. The next prime is 6537509441. The reversal of 6537509440 is 449057356.

It is a super-2 number, since 2×6537509440² = 85478059356178227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6537509441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5001267 + ... + 5002573.

Almost surely, 2^6537509440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6537509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10226100960).

6537509440 is an abundant number, since it is smaller than the sum of its proper divisors (13914692480).

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

6537509440 is a wasteful number, since it uses less digits than its factorization.

6537509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The square root of 6537509440 is about 80854.8665202040. The cubic root of 6537509440 is about 1869.8385516483.

The spelling of 6537509440 in words is "six billion, five hundred thirty-seven million, five hundred nine thousand, four hundred forty".