6557209666560 has 4224 divisors, whose sum is σ = 31412600409600. Its totient is φ = 1300264648704.

The previous prime is 6557209666559. The next prime is 6557209666561. The reversal of 6557209666560 is 656669027556.

It is an interprime number because it is at equal distance from previous prime (6557209666559) and next prime (6557209666561).

It is a super-2 number, since 2×6557209666560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6557209666561) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 177221882862 + ... + 177221882898.

Almost surely, 2^{6557209666560} is an apocalyptic number.

6557209666560 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 6557209666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15706300204800).

6557209666560 is an abundant number, since it is smaller than the sum of its proper divisors (24855390743040).

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

6557209666560 is a wasteful number, since it uses less digits than its factorization.

6557209666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

The spelling of 6557209666560 in words is "six trillion, five hundred fifty-seven billion, two hundred nine million, six hundred sixty-six thousand, five hundred sixty".