6653628240 has 320 divisors, whose sum is σ = 25241241600. Its totient is φ = 1415964672.

The previous prime is 6653628217. The next prime is 6653628257. The reversal of 6653628240 is 428263566.

It is a happy number.

It is a super-2 number, since 2×6653628240² = 88541537512250995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6653628192 and 6653628201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1881514 + ... + 1885046.

It is an arithmetic number, because the mean of its divisors is an integer number (78878880).

Almost surely, 2^6653628240 is an apocalyptic number.

6653628240 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 6653628240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12620620800).

6653628240 is an abundant number, since it is smaller than the sum of its proper divisors (18587613360).

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

6653628240 is a wasteful number, since it uses less digits than its factorization.

6653628240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 6653628240 is about 81569.7752847217. The cubic root of 6653628240 is about 1880.8442940832.

The spelling of 6653628240 in words is "six billion, six hundred fifty-three million, six hundred twenty-eight thousand, two hundred forty".