6656307840 has 1280 divisors, whose sum is σ = 31350654720. Its totient is φ = 1305870336.

The previous prime is 6656307821. The next prime is 6656307841. The reversal of 6656307840 is 487036566.

6656307840 is a `hidden beast` number, since 6 + 6 + 5 + 630 + 7 + 8 + 4 + 0 = 666.

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 (6656307841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80196439 + ... + 80196521.

It is an arithmetic number, because the mean of its divisors is an integer number (24492699).

Almost surely, 2^6656307840 is an apocalyptic number.

6656307840 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 6656307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15675327360).

6656307840 is an abundant number, since it is smaller than the sum of its proper divisors (24694346880).

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

6656307840 is a wasteful number, since it uses less digits than its factorization.

6656307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6656307840 is about 81586.1988328908. The cubic root of 6656307840 is about 1881.0967495240.

The spelling of 6656307840 in words is "six billion, six hundred fifty-six million, three hundred seven thousand, eight hundred forty".