6535436544 has 648 divisors, whose sum is σ = 24321511032. Its totient is φ = 1672151040.

The previous prime is 6535436539. The next prime is 6535436561. The reversal of 6535436544 is 4456345356.

6535436544 is a `hidden beast` number, since 6 + 5 + 3 + 543 + 65 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32626944 + 6502809600 = 5712^2 + 80640^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6535436544.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89526492 + ... + 89526564.

Almost surely, 2^6535436544 is an apocalyptic number.

6535436544 is a gapful number since it is divisible by the number (64) 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 6535436544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12160755516).

6535436544 is an abundant number, since it is smaller than the sum of its proper divisors (17786074488).

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

6535436544 is a wasteful number, since it uses less digits than its factorization.

6535436544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 159 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 45.

The square root of 6535436544 is about 80842.0468815579. The cubic root of 6535436544 is about 1869.6409029553.

The spelling of 6535436544 in words is "six billion, five hundred thirty-five million, four hundred thirty-six thousand, five hundred forty-four".