6657208560 has 120 divisors (see below), whose sum is σ = 23185234800. Its totient is φ = 1775250432.

The previous prime is 6657208549. The next prime is 6657208567. The reversal of 6657208560 is 658027566.

6657208560 is a `hidden beast` number, since 6 + 65 + 7 + 20 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×6657208560² = 88636851622674547200, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6657208567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151785 + ... + 190664.

It is an arithmetic number, because the mean of its divisors is an integer number (193210290).

Almost surely, 2^6657208560 is an apocalyptic number.

6657208560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6657208560 is an abundant number, since it is smaller than the sum of its proper divisors (16528026240).

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

6657208560 is a wasteful number, since it uses less digits than its factorization.

6657208560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342477 (or 342459 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 6657208560 is about 81591.7186974266. The cubic root of 6657208560 is about 1881.1815946106.

It can be divided in two parts, 665 and 7208560, that added together give a square (7209225 = 2685²).

The spelling of 6657208560 in words is "six billion, six hundred fifty-seven million, two hundred eight thousand, five hundred sixty".