6556159733760 has 1664 divisors, whose sum is σ = 29283152640000. Its totient is φ = 1382757433344.

The previous prime is 6556159733749. The next prime is 6556159733789. The reversal of 6556159733760 is 673379516556.

6556159733760 is a `hidden beast` number, since 6 + 5 + 5 + 6 + 1 + 597 + 3 + 37 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2465647311 + ... + 2465649969.

Almost surely, 2^{6556159733760} is an apocalyptic number.

6556159733760 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 6556159733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14641576320000).

6556159733760 is an abundant number, since it is smaller than the sum of its proper divisors (22726992906240).

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

6556159733760 is a wasteful number, since it uses less digits than its factorization.

6556159733760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 107163000, while the sum is 63.

The spelling of 6556159733760 in words is "six trillion, five hundred fifty-six billion, one hundred fifty-nine million, seven hundred thirty-three thousand, seven hundred sixty".