6557956509440 has 1152 divisors, whose sum is σ = 20255497113600. Its totient is φ = 1983790448640.

The previous prime is 6557956509427. The next prime is 6557956509491. The reversal of 6557956509440 is 449056597556.

It is a super-2 number, since 2×6557956509440² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18577780304 + ... + 18577780656.

It is an arithmetic number, because the mean of its divisors is an integer number (17582896800).

Almost surely, 2^{6557956509440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6557956509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10127748556800).

6557956509440 is an abundant number, since it is smaller than the sum of its proper divisors (13697540604160).

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

6557956509440 is a wasteful number, since it uses less digits than its factorization.

6557956509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 204120000, while the sum is 65.

The spelling of 6557956509440 in words is "six trillion, five hundred fifty-seven billion, nine hundred fifty-six million, five hundred nine thousand, four hundred forty".