6553806336 has 640 divisors, whose sum is σ = 24889835520. Its totient is φ = 1653350400.

The previous prime is 6553806331. The next prime is 6553806349. The reversal of 6553806336 is 6336083556.

6553806336 is a `hidden beast` number, since 6 + 5 + 5 + 3 + 8 + 0 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6553806291 and 6553806300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6553806331) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 50028991 + ... + 50029121.

It is an arithmetic number, because the mean of its divisors is an integer number (38890368).

Almost surely, 2^6553806336 is an apocalyptic number.

6553806336 is a gapful number since it is divisible by the number (66) 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 6553806336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12444917760).

6553806336 is an abundant number, since it is smaller than the sum of its proper divisors (18336029184).

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

6553806336 is a wasteful number, since it uses less digits than its factorization.

6553806336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The square root of 6553806336 is about 80955.5824881768. The cubic root of 6553806336 is about 1871.3909919026.

The spelling of 6553806336 in words is "six billion, five hundred fifty-three million, eight hundred six thousand, three hundred thirty-six".