6649983360 has 320 divisors, whose sum is σ = 24397171920. Its totient is φ = 1724903424.

The previous prime is 6649983343. The next prime is 6649983367. The reversal of 6649983360 is 633899466.

It is a happy number.

6649983360 is a `hidden beast` number, since 66 + 499 + 8 + 33 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6649983297 and 6649983306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6649983367) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1916347 + ... + 1919813.

Almost surely, 2^6649983360 is an apocalyptic number.

6649983360 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 6649983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12198585960).

6649983360 is an abundant number, since it is smaller than the sum of its proper divisors (17747188560).

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

6649983360 is a wasteful number, since it uses less digits than its factorization.

6649983360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The square root of 6649983360 is about 81547.4301250505. The cubic root of 6649983360 is about 1880.5007870673.

The spelling of 6649983360 in words is "six billion, six hundred forty-nine million, nine hundred eighty-three thousand, three hundred sixty".