6533738640 has 600 divisors, whose sum is σ = 26903762424. Its totient is φ = 1459814400.

The previous prime is 6533738623. The next prime is 6533738641. The reversal of 6533738640 is 468373356.

6533738640 is a `hidden beast` number, since 6 + 533 + 73 + 8 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 812934144 + 5720804496 = 28512^2 + 75636^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6533738641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10192720 + ... + 10193360.

Almost surely, 2^6533738640 is an apocalyptic number.

6533738640 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 6533738640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13451881212).

6533738640 is an abundant number, since it is smaller than the sum of its proper divisors (20370023784).

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

6533738640 is a wasteful number, since it uses less digits than its factorization.

6533738640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 6533738640 is about 80831.5448324477. The cubic root of 6533738640 is about 1869.4789782598.

The spelling of 6533738640 in words is "six billion, five hundred thirty-three million, seven hundred thirty-eight thousand, six hundred forty".