6557759523840 has 704 divisors, whose sum is σ = 24605610236928. Its totient is φ = 1459381862400.

The previous prime is 6557759523823. The next prime is 6557759523851. The reversal of 6557759523840 is 483259577556.

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, 2719932235 + ... + 2719934645.

Almost surely, 2^{6557759523840} is an apocalyptic number.

6557759523840 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 6557759523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12302805118464).

6557759523840 is an abundant number, since it is smaller than the sum of its proper divisors (18047850713088).

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

6557759523840 is a wasteful number, since it uses less digits than its factorization.

6557759523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 317520000, while the sum is 66.

The spelling of 6557759523840 in words is "six trillion, five hundred fifty-seven billion, seven hundred fifty-nine million, five hundred twenty-three thousand, eight hundred forty".