6556440084480 has 1920 divisors, whose sum is σ = 28854253209600. Its totient is φ = 1388681625600.

The previous prime is 6556440084379. The next prime is 6556440084497. The reversal of 6556440084480 is 844800446556.

6556440084480 is a `hidden beast` number, since 6 + 556 + 4 + 4 + 0 + 0 + 8 + 4 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×6556440084480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 6009568735 + ... + 6009569825.

It is an arithmetic number, because the mean of its divisors is an integer number (15028256880).

Almost surely, 2^{6556440084480} is an apocalyptic number.

6556440084480 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 6556440084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14427126604800).

6556440084480 is an abundant number, since it is smaller than the sum of its proper divisors (22297813125120).

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

6556440084480 is a wasteful number, since it uses less digits than its factorization.

6556440084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 6556440084480 in words is "six trillion, five hundred fifty-six billion, four hundred forty million, eighty-four thousand, four hundred eighty".