6553647360 has 576 divisors, whose sum is σ = 25960435200. Its totient is φ = 1554481152.

The previous prime is 6553647341. The next prime is 6553647367. The reversal of 6553647360 is 637463556.

6553647360 is a `hidden beast` number, since 6 + 553 + 64 + 7 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (6553647367) 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, 13028869 + ... + 13029371.

It is an arithmetic number, because the mean of its divisors is an integer number (45070200).

Almost surely, 2^6553647360 is an apocalyptic number.

6553647360 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 6553647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12980217600).

6553647360 is an abundant number, since it is smaller than the sum of its proper divisors (19406787840).

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

6553647360 is a wasteful number, since it uses less digits than its factorization.

6553647360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The square root of 6553647360 is about 80954.6006104656. The cubic root of 6553647360 is about 1871.3758603061.

It can be divided in two parts, 65536 and 47360, that added together give a square (112896 = 336²).

The spelling of 6553647360 in words is "six billion, five hundred fifty-three million, six hundred forty-seven thousand, three hundred sixty".