6536413640 has 64 divisors (see below), whose sum is σ = 15585611760. Its totient is φ = 2458624000.

The previous prime is 6536413633. The next prime is 6536413661. The reversal of 6536413640 is 463146356.

It can be written as a sum of positive squares in 8 ways, for example, as 5503562596 + 1032851044 = 74186^2 + 32138^2 .

It is a super-4 number, since 4×6536413640⁴ (a number of 40 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6536413594 and 6536413603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 930140 + ... + 937140.

Almost surely, 2^6536413640 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 6536413640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7792805880).

6536413640 is an abundant number, since it is smaller than the sum of its proper divisors (9049198120).

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

6536413640 is a wasteful number, since it uses less digits than its factorization.

6536413640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8402 (or 8398 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The square root of 6536413640 is about 80848.0898970409. The cubic root of 6536413640 is about 1869.7340733504.

Adding to 6536413640 its reverse (463146356), we get a palindrome (6999559996).

The spelling of 6536413640 in words is "six billion, five hundred thirty-six million, four hundred thirteen thousand, six hundred forty".